Layout changes and typo fixes

.gitignore

@@ -1,117 +1,8 @@
-# Compiled Object files #
-#########################
-*.slo
-*.lo
-*.o
-*.obj
+# Exclude directories
+_site
+.sass-cache
+.jekyll-metadata
+pdf
 
-# Editor files #
-################
+# Exclude backup files
 *~
-*#
-*.sublime-*
-
-# Precompiled Headers #
-#######################
-*.gch
-*.pch
-
-# Compiled Dynamic libraries #
-##############################
-*.so
-*.dylib
-*.dll
-
-# Fortran module files #
-########################
-*.mod
-
-# Compiled Static libraries #
-#############################
-*.lai
-*.la
-*.a
-*.lib
-
-# Executables #
-###############
-*.exe
-*.out
-*.app
-
-# http://www.gnu.org/software/automake #
-########################################
-Makefile.in
-Makefile
-Config.h
-Config.h.in
-config.log
-config.status
-.deps
-Make.inc
-eigen.inc
-Eigen.inc
-
-# http://www.gnu.org/software/autoconf #
-########################################
-autom4te.cache
-aclocal.m4
-compile
-configure
-depcomp
-install-sh
-missing
-stamp-h1
-config.sub
-config.guess
-INSTALL
-.dirstamp
-ltmain.sh
- 
-# Logs and databases #
-######################
-*.log
-*.sql
-*.sqlite
- 
-# OS generated files #
-######################
-.DS_Store
-.DS_Store?
-._*
-.Spotlight-V100
-.Trashes
-ehthumbs.db
-Thumbs.db
-.dirstamp
-
-# build directory #
-###################
-build*/*
-
-# IDE related files #
-#####################
-*.xcodeproj/*
-build.sh
-.vscode
-*.code-workspace
-
-# Eigen source #
-################
-Grid/Eigen
-Eigen/*
-
-# libtool macros #
-##################
-m4/lt*
-m4/libtool.m4
-
-# github pages #
-################
-gh-pages/
-
-# generated sources #
-#####################
-Grid/qcd/spin/gamma-gen/*.h
-Grid/qcd/spin/gamma-gen/*.cc
-Grid/util/Version.h

.travis.yml

@@ -1,56 +0,0 @@
-language: cpp
-
-cache:
-  directories:
-    - clang
-
-matrix:
-  include:
-    - os:        osx
-      osx_image: xcode8.3
-      compiler: clang
-      
-before_install:
-    - export GRIDDIR=`pwd`
-    - if [[ "$TRAVIS_OS_NAME" == "linux" ]] && [[ "$CC" == "clang" ]] && [ ! -e clang/bin ]; then wget $CLANG_LINK; tar -xf `basename $CLANG_LINK`; mkdir clang; mv clang+*/* clang/; fi
-    - if [[ "$TRAVIS_OS_NAME" == "linux" ]] && [[ "$CC" == "clang" ]]; then export PATH="${GRIDDIR}/clang/bin:${PATH}"; fi
-    - if [[ "$TRAVIS_OS_NAME" == "linux" ]] && [[ "$CC" == "clang" ]]; then export LD_LIBRARY_PATH="${GRIDDIR}/clang/lib:${LD_LIBRARY_PATH}"; fi
-    - if [[ "$TRAVIS_OS_NAME" == "osx" ]]; then brew update; fi
-    - if [[ "$TRAVIS_OS_NAME" == "osx" ]]; then brew install libmpc openssl; fi
-    
-install:
-    - export CWD=`pwd`
-    - echo $CWD
-    - export CC=$CC$VERSION
-    - export CXX=$CXX$VERSION
-    - echo $PATH
-    - which autoconf
-    - autoconf  --version
-    - which automake
-    - automake  --version
-    - which $CC
-    - $CC  --version
-    - which $CXX
-    - $CXX --version
-    - if [[ "$TRAVIS_OS_NAME" == "osx" ]]; then export LDFLAGS='-L/usr/local/lib'; fi
-    - if [[ "$TRAVIS_OS_NAME" == "osx" ]]; then export EXTRACONF='--with-openssl=/usr/local/opt/openssl'; fi
-    
-script:
-    - ./bootstrap.sh
-    - mkdir build
-    - cd build
-    - mkdir lime
-    - cd lime
-    - mkdir build
-    - cd build
-    - wget http://usqcd-software.github.io/downloads/c-lime/lime-1.3.2.tar.gz
-    - tar xf lime-1.3.2.tar.gz
-    - cd lime-1.3.2
-    - ./configure --prefix=$CWD/build/lime/install
-    - make -j4
-    - make install
-    - cd $CWD/build
-    - ../configure --enable-simd=SSE4 --enable-comms=none --with-lime=$CWD/build/lime/install ${EXTRACONF}
-    - make -j4 
-    - ./benchmarks/Benchmark_dwf --threads 1 --debug-signals
-    - make check

AUTHORS

@@ -1,4 +0,0 @@
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-Author: Peter Boyle <peterboyle@MacBook-Pro.local>
-Author: paboyle <paboyle@ph.ed.ac.uk>

CHANGELOG.md

@@ -0,0 +1,571 @@
+## [3.4.8](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.4.8)
+
+### Enhancements
+
+- Improve type readability for larger viewports by bumping up base `font-size`. [#533](https://github.com/mmistakes/minimal-mistakes/issues/533)
+- Update Portuguese localized UI text. [#541](https://github.com/mmistakes/minimal-mistakes/pull/541)
+- Add `page.title` and via parameter to Twitter share link. [#538](https://github.com/mmistakes/minimal-mistakes/pull/538)
+
+### Bug Fixes
+
+- Fix Last.fm author profile URL. [#540](https://github.com/mmistakes/minimal-mistakes/pull/540)
+
+### Maintenance
+
+- Move Brazilian Portuguese localized text under `pt-BR` key.
+
+## [3.4.7](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.4.7)
+
+### Enhancements
+
+- Add `layout` based and user-defined class names to `<body>` element for added CSS hooks. [#526](https://github.com/mmistakes/minimal-mistakes/pull/526)
+- Add simplified Chinese localized UI text. [#532](https://github.com/mmistakes/minimal-mistakes/pull/532)
+
+### Bug Fixes
+
+- Remove duplicate include of `base_path` in category-list.html [#522](https://github.com/mmistakes/minimal-mistakes/pull/522)
+
+## [3.4.6](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.4.6)
+
+### Enhancements
+
+- Add Italian "comments" related localized UI text. [#514](https://github.com/mmistakes/minimal-mistakes/pull/514)
+
+### Bug Fixes
+
+- Disable `compress` HTML layout by default. To enable add `layout: compress` to `_layouts/default.html`.
+
+## [3.4.5](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.4.5)
+
+### Enhancements
+
+- Improve line numbered code block styling when using `{% highlight linenos %}` tag. [#513](https://github.com/mmistakes/minimal-mistakes/issues/513)
+- Add English fallback to "Follow" button label. [#496](https://github.com/mmistakes/minimal-mistakes/pull/496)
+
+### Bug Fixes
+
+- Fix Firefox alignment issues with code blocks generated with the `{% highlight %}` tag. [#512](https://github.com/mmistakes/minimal-mistakes/issues/512)
+
+### Maintenance
+
+- Clarified comment for `author.stackoverflow` value used in author sidebar links. [#487](https://github.com/mmistakes/minimal-mistakes/pull/487)
+- Add list of localized text strings. [#488](https://github.com/mmistakes/minimal-mistakes/pull/488)
+- Add `{% highlight %}` code block examples to demo site.
+- Add documentation for using custom sidebar navigation menus. [#476](https://github.com/mmistakes/minimal-mistakes/issues/476)
+
+## [3.4.4](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.4.4)
+
+### Enhancements
+
+- Add French "comments" related localized UI text. [#472](https://github.com/mmistakes/minimal-mistakes/pull/472)
+
+### Bug Fixes
+
+- Exclude `vendor` in Jekyll config file.
+- Fix Liquid syntax error for offending parenthesis. [#479](https://github.com/mmistakes/minimal-mistakes/issues/479)
+
+### Maintenance
+
+- Update gems: `colorator` (1.1.0), `forwardable-extended` (2.6.0), `github-pages` (93), `jekyll` (= 3.2.1), `minima` (= 1.0.1).
+
+## [3.4.3](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.4.3)
+
+### Enhancements
+
+- Make ["honeypot" `input`](https://github.com/mmistakes/minimal-mistakes/commit/06a8249a69a37dddda7e2a5bfbe32056c1a9a607) in Staticman comment form less obvious to spam bots
+- Add padding to `.highlight` code blocks to better [align `overflow` scrollbar](https://github.com/mmistakes/minimal-mistakes/commit/e4abec0a6f7f8cff72505ca0754615df294fd5b3) to the bottom.
+- Add additional image options for Twitter card social sharing meta tags. [#466](https://github.com/mmistakes/minimal-mistakes/pull/466)
+- Add structured data markup for Staticman comments. [#458](https://github.com/mmistakes/minimal-mistakes/issues/458)
+
+### Bug Fixes
+
+- Format `og:locale` tag with `_` instead of `-`. [#462](https://github.com/mmistakes/minimal-mistakes/issues/462)
+
+### Maintenance
+
+- Add note to docs about using `url: http://localhost:4000` when working locally.
+
+## [3.4.2](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.4.2)
+
+### Enhancements
+
+- Improve UX of static comment forms. [#448](https://github.com/mmistakes/minimal-mistakes/issues/448)
+
+## [3.4.1](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.4.1)
+
+### Enhancements
+
+- Add `staticman.filename` configuration with UNIX timestamp for sorting data files. example ~> `comment-1470943149`.
+
+### Bug Fixes
+
+- Don't add `<a>` to author name if URL is blank.
+
+## [3.4.0](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.4.0)
+
+### Enhancements
+
+- Support static-based commenting via [Staticman](https://staticman.net/) for sites hosted with GitHub Pages. [#424](https://github.com/mmistakes/minimal-mistakes/issues/424)
+
+## [3.3.7](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.3.7)
+
+### Bug Fixes
+
+- Re-enabled Jekyll plugins in `_config.yml` in case they aren't autoloaded in `Gemfile`. [#417](https://github.com/mmistakes/minimal-mistakes/issues/417)
+
+### Enhancements
+
+- Fallback to `site.github.url` for use in `{{ base_path }}` when `site.url` is `nil`.
+- Replace Sass and Autoprefixer `npm` build scripts with [Jekyll's built-in asset support](https://jekyllrb.com/docs/assets/). [#333](https://github.com/mmistakes/minimal-mistakes/issues/333)
+
+### Maintenance
+
+- Document `site.repository` and its role with [`github-metadata`](https://github.com/jekyll/github-metadata) gem.
+- Add sample [archive page with content](https://mmistakes.github.io/minimal-mistakes/archive-layout-with-content/) for testing styles on demo site.
+
+## [3.3.6](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.3.6)
+
+### Bug Fixes
+
+- Fix blank `site.teaser` bug. [#412](https://github.com/mmistakes/minimal-mistakes/issues/412)
+
+## [3.3.5](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.3.5)
+
+### Enhancements
+
+- Add English default text `site.locale` strings. [#407](https://github.com/mmistakes/minimal-mistakes/issues/407)
+- Add Portuguese localized UI text. [#411](https://github.com/mmistakes/minimal-mistakes/pull/411)
+- Add Italian localized UI text. [#409](https://github.com/mmistakes/minimal-mistakes/pull/409)
+
+### Maintenance
+
+- Remove unused Google AdSense variables in `_config.yml`. [#404](https://github.com/mmistakes/minimal-mistakes/issues/404)
+- Update `Gemfile` instructions for using `github-pages` vs. native `jekyll` gems.
+- Disable `gems:` in `_config.yml` and enable plugins with Bundler instead.
+- Add `repository` to `_config.yml` to suppress GitHub Pages error `Liquid Exception: No repo name found.`
+
+## [3.3.4](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.3.4)
+
+### Enhancements
+
+- Add support for configurable feed URL to use a service like FeedBurner instead of linking directly to `feed.xml` in `<head>` and the site footer. [#378](https://github.com/mmistakes/minimal-mistakes/issues/378), [#379](https://github.com/mmistakes/minimal-mistakes/pull/379), [#406](https://github.com/mmistakes/minimal-mistakes/pull/406)
+- Add Turkish localized UI text. [#403](https://github.com/mmistakes/minimal-mistakes/pull/403)
+
+### Maintenance
+
+- Update gems: `activesupport` (4.2.7), `ffi` (1.9.14), `github-pages` (88), `jekyll-redirect-from` (0.11.0), `jekyll-watch` (1.5.0).
+
+## [3.3.3](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.3.3)
+
+### Enhancements
+
+- Make footer stick to the bottom of the page.
+
+### Bug Fixes
+
+- Fix `gallery` size bug [#402](https://github.com/mmistakes/minimal-mistakes/issues/402)
+
+### Maintenance
+
+- Set default `lang` to `en`.
+
+## [3.3.2](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.3.2)
+
+### Bug Fixes
+
+- Fix JavaScript that triggers "sticky" sidebar to avoid layout issues on screen sizes < `1024px`. [#396](https://github.com/mmistakes/minimal-mistakes/issues/396)
+
+## [3.3.1](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.3.1)
+
+### Enhancements
+
+- Enable image popup on < 500px wide screens. [#385](https://github.com/mmistakes/minimal-mistakes/issues/385)
+- Indicate the relationship between component URLs in a paginated series by applying `rel="prev"` and `rel="next"` to pages that use `site.paginator`. [#253](https://github.com/mmistakes/minimal-mistakes/issues/253)
+- Improve link posts in archive listings. [#276](https://github.com/mmistakes/minimal-mistakes/issues/276)
+
+### Maintenance
+
+- Update gems: `github-pages` (86), `ffi` 1.9.13, `jekyll-mentions` 1.1.3, and `rouge` 1.11.1
+- Fix note about custom sidebar content appearing below author profile. [#388](https://github.com/mmistakes/minimal-mistakes/issues/388)
+
+## [3.2.13](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.2.13)
+
+### Enhancements
+
+- Add English default UI text for Canada, Great Britain, and Australia. [#377](https://github.com/mmistakes/minimal-mistakes/issues/377)
+- Switch default locale from `en-US` to `en`.
+
+## [3.2.12](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.2.12)
+
+### Enhancements
+
+- Remove window width "magic number" from sticky sidebar check in `main.js` for improved flexibility. [#375](https://github.com/mmistakes/minimal-mistakes/pull/375)
+
+### Bug Fixes
+
+- Fix author override conditional where a missing `authors.yml` would show broken sidebar content. Defaults to `site.author`. [#376](https://github.com/mmistakes/minimal-mistakes/pull/376)
+
+## [3.2.11](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.2.11)
+
+### Bug Fixes
+
+- Fix disappearing author sidebar links [#372](https://github.com/mmistakes/minimal-mistakes/issues/372)
+
+### Maintenance
+
+- Update gems: `github-pages` (84), `jekyll-github-metadata` 2.0.2, and `kramdown` 1.11.1
+- Update vendor JavaScript: jQuery 1.12.4, Stickyfill.js 1.1.4
+- Update Font Awesome 4.6.3
+
+## [3.2.10](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.2.10)
+
+### Maintenance
+
+- Add `CONTRIBUTING.md`
+
+## [3.2.9](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.2.9)
+
+### Enhancements
+
+- Add support for [header overlay images](https://mmistakes.github.io/minimal-mistakes/docs/layouts/#header-overlay) for Open Graph images. [#358](https://github.com/mmistakes/minimal-mistakes/pull/358)
+
+### Bug Fixes
+
+- Fix `Person` typo Schema.org type [#358](https://github.com/mmistakes/minimal-mistakes/pull/358)
+
+### Maintenance
+
+- Update `github-pages` gem and dependencies.
+- Remove `minutes_read` to avoid awkward reading time wording [#356](https://github.com/mmistakes/minimal-mistakes/issues/356)
+
+## [3.2.8](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.2.8)
+
+### Bug Fixes
+
+- Remove `cursor: pointer` that appears on white-space surrounding author side list items and links. [#354](https://github.com/mmistakes/minimal-mistakes/pull/354)
+
+### Maintenance
+
+- Add contributing information to `README.md`. [#357](https://github.com/mmistakes/minimal-mistakes/issues/357)
+
+## [3.2.7](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.2.7)
+
+### Enhancements
+
+- Add French localized UI text. [#346](https://github.com/mmistakes/minimal-mistakes/pull/346)
+
+### Bug Fixes
+
+- Fix branch logic for Yandex and Alexa in `seo.html`. [#348](https://github.com/mmistakes/minimal-mistakes/pull/348)
+
+## [3.2.6](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.2.6)
+
+### Bug Fixes
+
+- Fix error `Liquid Exception: divided by 0 in _includes/archive-single.html, included in _layouts/single.html` caused by null `words_per_minute` in `_config.yml`. [#345](https://github.com/mmistakes/minimal-mistakes/pull/345)
+
+## [3.2.5](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.2.5)
+
+### Bug Fixes
+
+- Fix link color in hero overlay to be white.
+- Remove underlines from archive item titles.
+
+## [3.2.4](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.2.4)
+
+### Enhancements
+
+- Improve text alignment of masthead, hero overlay, page footer to be flush left and remove awkward white-space gaps. [#342](https://github.com/mmistakes/minimal-mistakes/issues/342)
+- Add Spanish localized UI text. [#338](https://github.com/mmistakes/minimal-mistakes/pull/338)
+
+### Bug Fixes
+
+- Fix alignment of icons in author sidebar [#341](https://github.com/mmistakes/minimal-mistakes/issues/341)
+
+### Maintenance
+
+- Add background color to page footer to set it apart from main content. [#342](https://github.com/mmistakes/minimal-mistakes/issues/342)
+- Add terms and privacy policy to theme's demo site. [#343](https://github.com/mmistakes/minimal-mistakes/issues/343)
+- Update screenshots found in theme documentation.
+
+## [3.2.3](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.2.3)
+
+### Enhancements
+
+- Add [Discourse](https://www.discourse.org/) as a commenting provider. [#335](https://github.com/mmistakes/minimal-mistakes/pull/335)
+
+## [3.2.2](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.2.2)
+
+### Enhancements
+
+- Add support for image captions in Magnific Popup overlays via the [`gallery`](https://mmistakes.github.io/minimal-mistakes/docs/helpers/#gallery) helper. [#334](https://github.com/mmistakes/minimal-mistakes/issues/334)
+
+## [3.2.1](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.2.1)
+
+### Bug Fixes
+
+- Remove need for "double tapping" masthead menu links on iOS devices. [#315](https://github.com/mmistakes/minimal-mistakes/issues/315)
+
+### Maintenance
+
+- Add `ISSUE_TEMPLATE.md` for improve issue submission process.
+
+## [3.2.0](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.2.0)
+
+### Bug Fixes
+
+- Fix missing category/tag links in post footer due to possible conflict with `site.tags` and `site.categories`. [#329](https://github.com/mmistakes/minimal-mistakes/issues/329#issuecomment-222375568)
+
+## [3.1.8](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.1.8)
+
+### Bug Fixes
+
+- Fix `Liquid Exception: undefined method 'gsub' for nil:NilClass in _layouts/single.html` error when `page.title` is null. `<h1>` element is now conditional if `title: ` is not set for a `page` or collection item. [#312](https://github.com/mmistakes/minimal-mistakes/issues/312)
+
+### Maintenance
+
+- Remove duplicate `fa-twitter` and `fa-twitter-square` classes from `_utilities.scss`. [#302](https://github.com/mmistakes/minimal-mistakes/issues/302)
+
+- Document installing additional Jekyll gem dependencies when using `gem "jekyll"` instead of `gem "github-pages"` to avoid any errors on run. [#305](https://github.com/mmistakes/minimal-mistakes/issues/305)
+
+## [3.1.7](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.1.7)
+
+### Enhancements
+
+- Add translation key for "Recent Posts" used in home page `index.html`. [#316](https://github.com/mmistakes/minimal-mistakes/pull/316)
+
+### Maintenance
+
+- Small fix to avoid underlying the whitespace between icons and related text when hovering. [#303](https://github.com/mmistakes/minimal-mistakes/pull/303)
+
+## [3.1.6](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.1.6)
+
+### Maintenance
+
+- Update gem dependencies. Run `bundle` to update `Gemfile.lock`.
+
+## [3.1.5](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.1.5)
+
+### Maintenance
+
+- Fix `www` and `https` links in author profile include [#293](https://github.com/mmistakes/minimal-mistakes/pull/293)
+
+## [3.1.4](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.1.4)
+
+### Enhancements
+
+- Add overlay_filter param to hero headers [#298](https://github.com/mmistakes/minimal-mistakes/pull/298)
+
+## [3.1.3](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.1.3)
+
+### Enhancements
+
+- Improve `site.locale` documentation [#284](https://github.com/mmistakes/minimal-mistakes/issues/284)
+- Remove ProTip note about protocol-less `site.url` as it is an anti-pattern [#288](https://github.com/mmistakes/minimal-mistakes/issues/288)
+
+### Bug Fixes
+
+- Fix `og_image` URL in seo.html [#277](https://github.com/mmistakes/minimal-mistakes/issues/277)
+- Fix `author_profile` toggle when assigned in a `_layout` [#285](https://github.com/mmistakes/minimal-mistakes/issues/285)
+- Fix typo in `build:all` npm script [#283](https://github.com/mmistakes/minimal-mistakes/pull/283)
+- Fix URL typo documentation [#287](https://github.com/mmistakes/minimal-mistakes/issues/287)
+- SEO author bug. If `twitter.username` is set and `author.twitter` is `nil` bad things happen. [#289](https://github.com/mmistakes/minimal-mistakes/issues/289)
+
+## [3.1.2](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.1.2)
+
+### Enhancements
+
+- Explain how to use `nav_list` helper in [documentation](https://mmistakes.github.io/minimal-mistakes/docs/helpers/#navigation-list).
+- Reduce left/right padding on smaller screens to increase width of main content column.
+
+### Bug Fixes
+
+- Fix alignment issues with related posts [#273](https://github.com/mmistakes/minimal-mistakes/issues/273) and "Follow" button in author profile [#274](https://github.com/mmistakes/minimal-mistakes/issues/274).
+
+## [3.1.1](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.1.1)
+
+### Bug Fix
+
+- Fixed reading time bug when `words_per_minute` wasn't set in `_config.yml` [#271](https://github.com/mmistakes/minimal-mistakes/issues/271)
+
+## [3.1.0](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.1.0)
+
+### Enhancements
+
+- Updated [Font Awesome](https://fortawesome.github.io/Font-Awesome/whats-new/) to version 4.6.1
+- Added optional GitHub and Bitbucket links to footer if set on `site.author` in `_config.yml`.
+
+### Bug Fixes
+- Fixed Bitbucket URL typo in author sidebar.
+
+## [3.0.3](https://github.com/mmistakes/minimal-mistakes/releases/tag/3.0.3)
+
+### Enhancements
+
+- Rebuilt the entire theme: layouts, includes, stylesheets, scripts, you name it.
+- Refreshed the look and feel while staying true to the original design of the theme (author sidebar/main content).
+- Replaced grid system with [Susy](http://susy.oddbird.net/).
+- Replaced Grunt tasks with `npm` scripts.
+- Removed Google Fonts and replaced with system fonts to improve performance (they can be [added back](https://mmistakes.github.io/minimal-mistakes/docs/stylesheets/) if desired)
+- Greatly improved [theme documentation](https://mmistakes.github.io/minimal-mistakes/docs/quick-start-guide/).
+- Increased the amount of sample posts, sample pages, and sample collections to throughly test the theme and edge-cases.
+- Moved all sample content and assets out of `master` to keep it as clean as possible for forking.
+- Added new layouts for `splash` pages, archives for [`jekyll-archives`](https://github.com/jekyll/jekyll-archives) if enabled, and [`compress.html`](https://github.com/penibelst/jekyll-compress-html) to improve performance.
+- Added taxonomy links to posts (tags and categories).
+- Added optional "reading time" meta data.
+- Improved Liquid used for Twitter Cards and Open Graph data in `<head>`.
+- Improved `gallery` include helper and added `feature_row` for use with splash page layout.
+- Added Keybase.io, author web URI, and Bitbucket optional links to sidebar.
+- Add `feed.xml` link to footer.
+- Added a [UI text data file](https://mmistakes.github.io/minimal-mistakes/docs/ui-text/) to easily change all text found in the theme.
+- Added LinkedIn to optional social share buttons.
+- Added Facebook, Google+, and custom commenting options in addition to Disqus.
+- Added optional breadcrumb links.
+
+## [2.2.1](https://github.com/mmistakes/minimal-mistakes/releases/tag/2.2.1)
+
+## [2.2.0](https://github.com/mmistakes/minimal-mistakes/releases/tag/2.2.0)
+
+### Enhancements
+
+- Add support for Jekyll 3.0
+- Minor updates to syntax highlighting CSS and theme documentation
+
+## [2.1.3](https://github.com/mmistakes/minimal-mistakes/releases/tag/2.1.3)
+
+### Enhancements
+
+- Cleaner print styles that remove the top navigation, social sharing buttons, and other elements not needed when printed.
+
+## [2.1.2](https://github.com/mmistakes/minimal-mistakes/releases/tag/2.1.2)
+
+### Enhancements
+
+- Add optional CodePen icon/url to author side bar [#156](https://github.com/mmistakes/minimal-mistakes/pull/156)
+- Documented Stackoverflow username explanation in `_config.yml` [#157](https://github.com/mmistakes/minimal-mistakes/pull/157)
+- Simplified Liquid in `post-index.html` to better handle year listings [#166](https://github.com/mmistakes/minimal-mistakes/pull/166)
+
+### Bug Fixes
+
+- Cleanup Facebook related Open Graph meta tags [#149](https://github.com/mmistakes/minimal-mistakes/issues/149)
+- Corrected minor typos [#158](https://github.com/mmistakes/minimal-mistakes/pull/158) [#175](https://github.com/mmistakes/minimal-mistakes/issues/175)
+
+## [2.1.1](https://github.com/mmistakes/minimal-mistakes/releases/tag/2.1.1)
+
+### Enhancements
+
+- Add optional XING profile link to author sidebar
+- Include open graph meta tags for feature image (if assigned) [#149](https://github.com/mmistakes/minimal-mistakes/issues/149)
+- Create an include for feed footer
+
+### Bug Fixes
+
+- Remove http protocol from Google search form on sample 404 page
+- Only show related posts if there are one or more available
+- Fix alignment of email address link in author sidebar
+
+## [2.1.0](https://github.com/mmistakes/minimal-mistakes/releases/tag/2.1.0)
+
+### Enhancements
+
+- Add optional social sharing buttons ([#42](https://github.com/mmistakes/minimal-mistakes/issues/42))
+
+![social sharing buttons](https://cloud.githubusercontent.com/assets/1376749/5860522/d9f28a96-a22f-11e4-9b83-940a3a9a766a.png)
+
+- Add Soundcloud, YouTube ([#95](https://github.com/mmistakes/minimal-mistakes/pull/95)), Flickr ([#119](https://github.com/mmistakes/minimal-mistakes/pull/119)), and Weibo ([#116](https://github.com/mmistakes/minimal-mistakes/pull/116)) icons for use in author sidebar.
+- Fix typos in posts and documentation and remove references to Less
+- Include note about Octopress gem being optional
+- Post author override support extended to the Atom feed ([#71](https://github.com/mmistakes/minimal-mistakes/pull/71))
+- Only include email address in feed if specified in `_config.yml` or author `_data`
+- Wrap all page content in `#main` to harmonize article and post index styles ([#86](https://github.com/mmistakes/minimal-mistakes/issues/86))
+- Include new sample feature images for posts and pages
+- Table of contents improvements: fix collapse toggle, indent nested elements, show on small screens, and create an `_include` for reusing in posts and pages.
+- Include note about running Jekyll with `bundle exec` when using Bundler
+- Fix home page path in top navigation
+- Remove Google Authorship ([#120](https://github.com/mmistakes/minimal-mistakes/issues/120))
+- Remove duplicate author content that displayed in `div.article-author-bottom`
+- Removed unused `_sass/print.scss` styles
+- Improve comments in `.scss` files
+
+## [2.0.0](https://github.com/mmistakes/minimal-mistakes/releases/tag/v2.0)
+
+## [1.3.3](https://github.com/mmistakes/minimal-mistakes/releases/tag/1.3.3)
+
+### Enhancements
+
+- Added new icons and profile links for Stackoverflow, Dribbble, Pinterest, Foursquare, and Steam to the author bio sidebar.
+- Cleaned up the Kramdown auto table of contents styling to be more readable
+- Removed page width specific .less stylesheets and created mixins for easier updating
+- Removed Modernizr since it wasn't being used
+- Added pages to sitemap.xml
+- Added category: to rake new_post task
+- Minor typographic changes
+
+### Bug Fixes
+
+- Corrected various broken links in README and Theme Setup.
+
+## [1.3.1](https://github.com/mmistakes/minimal-mistakes/releases/tag/1.3.1)
+
+### Enhancements
+
+- Cleaned up table of contents styling
+- Reworked top navigation to be a better experience on small screens. Nav items now display vertically when the menu button is tapped, revealing links with larger touch targets.
+
+![menu animation](https://camo.githubusercontent.com/3fbd8c1326485f4b1ab32c0005c0fca7660b5d31/68747470733a2f2f662e636c6f75642e6769746875622e636f6d2f6173736574732f313337363734392f323136343037352f31653366303663322d393465372d313165332d383961612d6436623636376562306564662e676966)
+
+## [1.2.0](https://github.com/mmistakes/minimal-mistakes/releases/tag/1.2.0)
+
+### Bug Fixes
+
+- Table weren't filling the entire width of the content container. They now scale at 100%. Thanks [@dhruvbhatia](https://github.com/dhruvbhatia)
+
+### Enhancements
+
+- Decreased spacing between Markdown footnotes
+- Removed dark background on footer
+- Removed UPPERCASE styling on post titles in the index listing
+
+## [1.1.4](https://github.com/mmistakes/minimal-mistakes/releases/tag/1.1.4)
+
+### Bug Fixes
+
+- Fix top navigation bug issue ([#10](https://github.com/mmistakes/minimal-mistakes/issues/10)) for real this time. Remember to clear your floats kids.
+
+## [1.1.3](https://github.com/mmistakes/minimal-mistakes/releases/tag/1.1.3)
+
+### Bug Fixes
+
+- Fix top navigation links that weren't click able on small viewports (Issue [#10](https://github.com/mmistakes/minimal-mistakes/issues/10)).
+- Remove line wrap from top navigation links that may span multiple lines.
+
+## [1.1.2](https://github.com/mmistakes/minimal-mistakes/releases/tag/1.1.2)
+
+### Enhancements
+
+- Added Grunt build script for compiling Less/JavaScript and optimizing image assets.
+- Added support for large image summary Twitter card.
+- Stylesheet adjustments
+
+## [1.1.1](https://github.com/mmistakes/minimal-mistakes/releases/tag/1.1.1)
+
+### Bug Fixes
+
+- Removed [Typeplate](http://typeplate.com/) styles. Was [causing issues with newer versions of Less](https://github.com/typeplate/typeplate.github.io/issues/108) and is no longer maintained.
+
+### Enhancements
+
+- Added [image attribution](http://mmistakes.github.io/minimal-mistakes/theme-setup/#feature-images) for post and page feature images.
+- Added [404 page](http://mmistakes.github.io/minimal-mistakes/404.html).
+- Cleaned up various Less variables to better align with naming conventions used in other MM Jekyll themes.
+- Removed Chrome Frame references.
+- Added global CSS3 transitions to text and block elements.
+- Improved typography in a few places.
+
+## [1.0.2](https://github.com/mmistakes/minimal-mistakes/releases/tag/v1.0.2)
+
+### Enhancements
+
+- Google Analytics, Google Authorship, webmaster verifies, and Twitter card meta are now optional.
+
+## [1.0.1](https://github.com/mmistakes/minimal-mistakes/releases/tag/v1.0.1)

ChangeLog

@@ -1,5 +0,0 @@
-Version : 0.8.0
-
-- Clang 3.5 and above, ICPC v16 and above, GCC 6.3 and above recommended
-- MPI and MPI3 comms optimisations for KNL and OPA finished
-- Half precision comms

Gemfile

@@ -0,0 +1,27 @@
+source "https://rubygems.org"
+
+# Hello! This is where you manage which Jekyll version is used to run.
+# When you want to use a different version, change it below, save the
+# file and run `bundle install`. Run Jekyll with `bundle exec`, like so:
+#
+#     bundle exec jekyll serve
+#
+# This will help ensure the proper Jekyll version is running.
+# Happy Jekylling!
+
+gem "github-pages", group: :jekyll_plugins
+
+# If you want to use Jekyll native, uncomment the line below.
+# To upgrade, run `bundle update`.
+
+# gem "jekyll"
+
+gem "wdm", "~> 0.1.0" if Gem.win_platform?
+
+# If you have any plugins, put them here!
+group :jekyll_plugins do
+  # gem "jekyll-archives"
+
+gem 'jekyll-octicons'
+
+end

Gemfile.lock

@@ -0,0 +1,155 @@
+GEM
+  remote: https://rubygems.org/
+  specs:
+    activesupport (4.2.7)
+      i18n (~> 0.7)
+      json (~> 1.7, >= 1.7.7)
+      minitest (~> 5.1)
+      thread_safe (~> 0.3, >= 0.3.4)
+      tzinfo (~> 1.1)
+    addressable (2.4.0)
+    coffee-script (2.4.1)
+      coffee-script-source
+      execjs
+    coffee-script-source (1.10.0)
+    colorator (1.1.0)
+    ethon (0.9.1)
+      ffi (>= 1.3.0)
+    execjs (2.7.0)
+    faraday (0.9.2)
+      multipart-post (>= 1.2, < 3)
+    ffi (1.9.14)
+    ffi (1.9.14-x64-mingw32)
+    forwardable-extended (2.6.0)
+    gemoji (2.1.0)
+    github-pages (104)
+      activesupport (= 4.2.7)
+      github-pages-health-check (= 1.2.0)
+      jekyll (= 3.3.0)
+      jekyll-avatar (= 0.4.2)
+      jekyll-coffeescript (= 1.0.1)
+      jekyll-feed (= 0.8.0)
+      jekyll-gist (= 1.4.0)
+      jekyll-github-metadata (= 2.2.0)
+      jekyll-mentions (= 1.2.0)
+      jekyll-paginate (= 1.1.0)
+      jekyll-redirect-from (= 0.11.0)
+      jekyll-sass-converter (= 1.3.0)
+      jekyll-seo-tag (= 2.1.0)
+      jekyll-sitemap (= 0.12.0)
+      jekyll-swiss (= 0.4.0)
+      jemoji (= 0.7.0)
+      kramdown (= 1.11.1)
+      liquid (= 3.0.6)
+      listen (= 3.0.6)
+      mercenary (~> 0.3)
+      minima (= 2.0.0)
+      rouge (= 1.11.1)
+      terminal-table (~> 1.4)
+    github-pages-health-check (1.2.0)
+      addressable (~> 2.3)
+      net-dns (~> 0.8)
+      octokit (~> 4.0)
+      public_suffix (~> 1.4)
+      typhoeus (~> 0.7)
+    html-pipeline (2.4.2)
+      activesupport (>= 2)
+      nokogiri (>= 1.4)
+    i18n (0.7.0)
+    jekyll (3.3.0)
+      addressable (~> 2.4)
+      colorator (~> 1.0)
+      jekyll-sass-converter (~> 1.0)
+      jekyll-watch (~> 1.1)
+      kramdown (~> 1.3)
+      liquid (~> 3.0)
+      mercenary (~> 0.3.3)
+      pathutil (~> 0.9)
+      rouge (~> 1.7)
+      safe_yaml (~> 1.0)
+    jekyll-avatar (0.4.2)
+      jekyll (~> 3.0)
+    jekyll-coffeescript (1.0.1)
+      coffee-script (~> 2.2)
+    jekyll-feed (0.8.0)
+      jekyll (~> 3.3)
+    jekyll-gist (1.4.0)
+      octokit (~> 4.2)
+    jekyll-github-metadata (2.2.0)
+      jekyll (~> 3.1)
+      octokit (~> 4.0, != 4.4.0)
+    jekyll-mentions (1.2.0)
+      activesupport (~> 4.0)
+      html-pipeline (~> 2.3)
+      jekyll (~> 3.0)
+    jekyll-octicons (3.0.1)
+      jekyll (~> 3.1)
+      octicons (~> 3.0)
+    jekyll-paginate (1.1.0)
+    jekyll-redirect-from (0.11.0)
+      jekyll (>= 2.0)
+    jekyll-sass-converter (1.3.0)
+      sass (~> 3.2)
+    jekyll-seo-tag (2.1.0)
+      jekyll (~> 3.3)
+    jekyll-sitemap (0.12.0)
+      jekyll (~> 3.3)
+    jekyll-swiss (0.4.0)
+    jekyll-watch (1.5.0)
+      listen (~> 3.0, < 3.1)
+    jemoji (0.7.0)
+      activesupport (~> 4.0)
+      gemoji (~> 2.0)
+      html-pipeline (~> 2.2)
+      jekyll (>= 3.0)
+    json (1.8.3)
+    kramdown (1.11.1)
+    liquid (3.0.6)
+    listen (3.0.6)
+      rb-fsevent (>= 0.9.3)
+      rb-inotify (>= 0.9.7)
+    mercenary (0.3.6)
+    mini_portile2 (2.1.0)
+    minima (2.0.0)
+    minitest (5.9.1)
+    multipart-post (2.0.0)
+    net-dns (0.8.0)
+    nokogiri (1.6.8.1)
+      mini_portile2 (~> 2.1.0)
+    nokogiri (1.6.8.1-x64-mingw32)
+      mini_portile2 (~> 2.1.0)
+    octicons (3.0.1)
+      nokogiri (>= 1.6.3.1)
+    octokit (4.4.1)
+      sawyer (~> 0.7.0, >= 0.5.3)
+    pathutil (0.14.0)
+      forwardable-extended (~> 2.6)
+    public_suffix (1.5.3)
+    rb-fsevent (0.9.8)
+    rb-inotify (0.9.7)
+      ffi (>= 0.5.0)
+    rouge (1.11.1)
+    safe_yaml (1.0.4)
+    sass (3.4.22)
+    sawyer (0.7.0)
+      addressable (>= 2.3.5, < 2.5)
+      faraday (~> 0.8, < 0.10)
+    terminal-table (1.7.3)
+      unicode-display_width (~> 1.1.1)
+    thread_safe (0.3.5)
+    typhoeus (0.8.0)
+      ethon (>= 0.8.0)
+    tzinfo (1.2.2)
+      thread_safe (~> 0.1)
+    unicode-display_width (1.1.1)
+
+PLATFORMS
+  ruby
+  x64-mingw32
+
+DEPENDENCIES
+  github-pages
+  jekyll-octicons
+
+BUNDLED WITH
+   1.13.3

Grid/DisableWarnings.h

@@ -1,63 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/DisableWarnings.h
-
-Copyright (C) 2016
-
-Author: Guido Cossu <guido.cossu@ed.ac.uk>
-
-This program is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2 of the License, or
-(at your option) any later version.
-
-This program is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-GNU General Public License for more details.
-
-You should have received a copy of the GNU General Public License along
-with this program; if not, write to the Free Software Foundation, Inc.,
-51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-See the full license in the file "LICENSE" in the top level distribution
-directory
-*************************************************************************************/
-/*  END LEGAL */
-
-#ifndef DISABLE_WARNINGS_H
-#define DISABLE_WARNINGS_H
-
-
-
-#if defined __GNUC__ && __GNUC__>=6
-#pragma GCC diagnostic ignored "-Wignored-attributes"
-#endif
-
- //disables and intel compiler specific warning (in json.hpp)
-#pragma warning disable 488  
-
-#ifdef __NVCC__
- //disables nvcc specific warning in json.hpp
-#pragma clang diagnostic ignored "-Wdeprecated-register"
-#pragma diag_suppress unsigned_compare_with_zero
-#pragma diag_suppress cast_to_qualified_type
-
- //disables nvcc specific warning in many files
-#pragma diag_suppress esa_on_defaulted_function_ignored
-#pragma diag_suppress extra_semicolon
-
-//Eigen only
-#endif
-
-// Disable vectorisation in Eigen on the Power8/9 and PowerPC
-#ifdef  __ALTIVEC__
-#define  EIGEN_DONT_VECTORIZE
-#endif
-#ifdef  __VSX__
-#define  EIGEN_DONT_VECTORIZE
-#endif
-
-#endif

Grid/Grid.h

@@ -1,50 +0,0 @@
-    /*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/Grid.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-Author: azusayamaguchi <ayamaguc@YAMAKAZE.local>
-Author: paboyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-    *************************************************************************************/
-    /*  END LEGAL */
-//
-//  Grid.h
-//  simd
-//
-//  Created by Peter Boyle on 09/05/2014.
-//  Copyright (c) 2014 University of Edinburgh. All rights reserved.
-//
-
-#ifndef GRID_H
-#define GRID_H
-
-#include <Grid/GridCore.h>
-#include <Grid/GridQCDcore.h>
-#include <Grid/qcd/action/Action.h>
-#include <Grid/qcd/utils/GaugeFix.h>
-#include <Grid/qcd/utils/CovariantSmearing.h>
-#include <Grid/qcd/smearing/Smearing.h>
-#include <Grid/parallelIO/MetaData.h>
-#include <Grid/qcd/hmc/HMC_aggregate.h>
-
-#endif

Grid/GridCore.h

@@ -1,65 +0,0 @@
-    /*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/Grid.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-Author: azusayamaguchi <ayamaguc@YAMAKAZE.local>
-Author: paboyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-    *************************************************************************************/
-    /*  END LEGAL */
-//
-//  Grid.h
-//  simd
-//
-//  Created by Peter Boyle on 09/05/2014.
-//  Copyright (c) 2014 University of Edinburgh. All rights reserved.
-//
-
-#ifndef GRID_BASE_H
-#define GRID_BASE_H
-
-
-#include <Grid/DisableWarnings.h>
-#include <Grid/Namespace.h>
-#include <Grid/GridStd.h>
-#include <Grid/threads/Pragmas.h>
-#include <Grid/perfmon/Timer.h>
-#include <Grid/perfmon/PerfCount.h>
-#include <Grid/util/Util.h>
-#include <Grid/log/Log.h>
-#include <Grid/allocator/Allocator.h>
-#include <Grid/simd/Simd.h>
-#include <Grid/threads/ThreadReduction.h>
-#include <Grid/serialisation/Serialisation.h>
-#include <Grid/util/Sha.h>
-#include <Grid/communicator/Communicator.h> 
-#include <Grid/cartesian/Cartesian.h>    
-#include <Grid/tensors/Tensors.h>      
-#include <Grid/lattice/Lattice.h>      
-#include <Grid/cshift/Cshift.h>       
-#include <Grid/stencil/Stencil.h>      
-#include <Grid/parallelIO/BinaryIO.h>
-#include <Grid/algorithms/Algorithms.h>   
-NAMESPACE_CHECK(GridCore)
-
-#endif

Grid/GridQCDcore.h

@@ -1,43 +0,0 @@
-    /*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/Grid.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-Author: azusayamaguchi <ayamaguc@YAMAKAZE.local>
-Author: paboyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-    *************************************************************************************/
-    /*  END LEGAL */
-#ifndef GRID_QCD_CORE_H
-#define GRID_QCD_CORE_H
-
-/////////////////////////
-// Core Grid QCD headers
-/////////////////////////
-#include <Grid/GridCore.h>
-#include <Grid/qcd/QCD.h>
-#include <Grid/qcd/spin/Spin.h>
-#include <Grid/qcd/utils/Utils.h>
-#include <Grid/qcd/representations/Representations.h>
-NAMESPACE_CHECK(GridQCDCore);
-
-#endif

Grid/GridStd.h

@@ -1,34 +0,0 @@
-#ifndef GRID_STD_H
-#define GRID_STD_H
-
-///////////////////
-// Std C++ dependencies
-///////////////////
-#include <cassert>
-#include <complex>
-#include <memory>
-#include <vector>
-#include <array>
-#include <string>
-#include <iostream>
-#include <iomanip>
-#include <random>
-#include <functional>
-#include <stdio.h>
-#include <stdlib.h>
-#include <stdio.h>
-#include <signal.h>
-#include <ctime>
-#include <sys/time.h>
-#include <chrono>
-#include <zlib.h>
-
-///////////////////
-// Grid config
-///////////////////
-#include "Config.h"
-
-#ifdef TOFU
-#undef GRID_COMMS_THREADS
-#endif
-#endif /* GRID_STD_H */

Grid/Grid_Eigen_Dense.h

@@ -1,71 +0,0 @@
-#include <Grid/GridCore.h>
-#pragma once
-// Force Eigen to use MKL if Grid has been configured with --enable-mkl
-#ifdef USE_MKL
-#define EIGEN_USE_MKL_ALL
-#endif
-
-
-#if defined __GNUC__
-#pragma GCC diagnostic push
-#pragma GCC diagnostic ignored "-Wdeprecated-declarations"
-#endif
-
-/* NVCC save and restore compile environment*/
-#ifdef __NVCC__
-#pragma push
-#pragma diag_suppress code_is_unreachable
-#pragma push_macro("__CUDA_ARCH__")
-#pragma push_macro("__NVCC__")
-#pragma push_macro("__CUDACC__")
-#undef __CUDA_ARCH__
-#undef __NVCC__
-#undef __CUDACC__
-#define __NVCC__REDEFINE__
-#endif 
-
-/* SYCL save and restore compile environment*/
-#ifdef GRID_SYCL
-#pragma push
-#pragma push_macro("__SYCL_DEVICE_ONLY__")
-#undef __SYCL_DEVICE_ONLY__
-#define EIGEN_DONT_VECTORIZE
-//#undef EIGEN_USE_SYCL
-#define __SYCL__REDEFINE__
-#endif
-
-/* HIP save and restore compile environment*/
-#ifdef GRID_HIP
-#pragma push
-#pragma push_macro("__HIP_DEVICE_COMPILE__")
-#endif
-#define EIGEN_NO_HIP
-
-#include <Grid/Eigen/Dense>
-#include <Grid/Eigen/unsupported/CXX11/Tensor>
-
-/* NVCC restore */
-#ifdef __NVCC__REDEFINE__
-#pragma pop_macro("__CUDACC__")
-#pragma pop_macro("__NVCC__")
-#pragma pop_macro("__CUDA_ARCH__")
-#pragma pop
-#endif
-
-/*SYCL restore*/
-#ifdef __SYCL__REDEFINE__
-#pragma pop_macro("__SYCL_DEVICE_ONLY__")
-#pragma pop
-#endif
-
-/*HIP restore*/
-#ifdef __HIP__REDEFINE__
-#pragma pop_macro("__HIP_DEVICE_COMPILE__")
-#pragma pop
-#endif
-
-#if defined __GNUC__
-#pragma GCC diagnostic pop
-#endif
-
-

Grid/Grid_Eigen_Tensor.h

@@ -1 +0,0 @@
-#include <Grid/Grid_Eigen_Dense.h>

Grid/Makefile.am

@@ -1,75 +0,0 @@
-extra_sources=
-extra_headers=
-
-if BUILD_COMMS_MPI3
-  extra_sources+=communicator/Communicator_mpi3.cc
-  extra_sources+=communicator/Communicator_base.cc
-  extra_sources+=communicator/SharedMemoryMPI.cc
-  extra_sources+=communicator/SharedMemory.cc
-endif
-
-if BUILD_COMMS_NONE
-  extra_sources+=communicator/Communicator_none.cc
-  extra_sources+=communicator/Communicator_base.cc
-  extra_sources+=communicator/SharedMemoryNone.cc
-  extra_sources+=communicator/SharedMemory.cc
-endif
-
-if BUILD_HDF5
-  extra_sources+=serialisation/Hdf5IO.cc 
-  extra_headers+=serialisation/Hdf5IO.h
-  extra_headers+=serialisation/Hdf5Type.h
-endif
-
-
-all: version-cache Version.h
-
-version-cache:
-	@if [ `git status --porcelain | grep -v '??' | wc -l` -gt 0 ]; then\
-		a="uncommited changes";\
-	else\
-		a="clean";\
-	fi;\
-	echo "`git log -n 1 --format=format:"#define GITHASH \\"%H:%d $$a\\"%n" HEAD`" > vertmp;\
-	if [ -e version-cache ]; then\
-		d=`diff vertmp version-cache`;\
-		if [ "$${d}" != "" ]; then\
-			mv vertmp version-cache;\
-			rm -f Version.h;\
-		fi;\
-	else\
-		mv vertmp version-cache;\
-		rm -f Version.h;\
-	fi;\
-	rm -f vertmp
-
-Version.h: version-cache
-	cp version-cache Version.h
-
-.PHONY: version-cache
-
-#
-# Libraries
-#
-include Make.inc
-include Eigen.inc
-
-extra_sources+=$(ZWILS_FERMION_FILES)
-extra_sources+=$(WILS_FERMION_FILES)
-extra_sources+=$(STAG_FERMION_FILES)
-if BUILD_GPARITY
-  extra_sources+=$(GP_FERMION_FILES)
-endif
-if BUILD_FERMION_REPS
-  extra_sources+=$(ADJ_FERMION_FILES)
-  extra_sources+=$(TWOIND_FERMION_FILES)
-endif
-
-lib_LIBRARIES = libGrid.a
-
-CCFILES += $(extra_sources)
-HFILES  += $(extra_headers) Config.h Version.h
-
-libGrid_a_SOURCES              = $(CCFILES)
-libGrid_adir                   = $(includedir)/Grid
-nobase_dist_pkginclude_HEADERS = $(HFILES) $(eigen_files) $(eigen_unsupp_files)

Grid/Namespace.h

@@ -1,38 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/Namespace.h
-
-Copyright (C) 2016
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-This program is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2 of the License, or
-(at your option) any later version.
-
-This program is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-GNU General Public License for more details.
-
-You should have received a copy of the GNU General Public License along
-with this program; if not, write to the Free Software Foundation, Inc.,
-51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-See the full license in the file "LICENSE" in the top level distribution
-directory
-*************************************************************************************/
-/*  END LEGAL */
-#pragma once
-
-#include <type_traits>
-#include <cassert>
-
-#define NAMESPACE_BEGIN(A) namespace A {
-#define NAMESPACE_END(A)   }
-#define GRID_NAMESPACE_BEGIN NAMESPACE_BEGIN(Grid)
-#define GRID_NAMESPACE_END   NAMESPACE_END(Grid)
-#define NAMESPACE_CHECK(x) struct namespaceTEST##x {};  static_assert(std::is_same<namespaceTEST##x, ::namespaceTEST##x>::value,"Not in :: at"  ); 

Grid/algorithms/Algorithms.h

@@ -1,74 +0,0 @@
-    /*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid
-
-    Source file: ./lib/Algorithms.h
-
-    Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-    *************************************************************************************/
-    /*  END LEGAL */
-#ifndef GRID_ALGORITHMS_H
-#define GRID_ALGORITHMS_H
-
-NAMESPACE_CHECK(algorithms);
-#include <Grid/algorithms/SparseMatrix.h>
-#include <Grid/algorithms/LinearOperator.h>
-#include <Grid/algorithms/Preconditioner.h>
-NAMESPACE_CHECK(SparseMatrix);
-
-#include <Grid/algorithms/approx/Zolotarev.h>
-#include <Grid/algorithms/approx/Chebyshev.h>
-#include <Grid/algorithms/approx/JacobiPolynomial.h>
-#include <Grid/algorithms/approx/Remez.h>
-#include <Grid/algorithms/approx/MultiShiftFunction.h>
-#include <Grid/algorithms/approx/Forecast.h>
-#include <Grid/algorithms/approx/RemezGeneral.h>
-#include <Grid/algorithms/approx/ZMobius.h>
-NAMESPACE_CHECK(approx);
-#include <Grid/algorithms/iterative/Deflation.h>
-#include <Grid/algorithms/iterative/ConjugateGradient.h>
-NAMESPACE_CHECK(ConjGrad);
-#include <Grid/algorithms/iterative/BiCGSTAB.h>
-NAMESPACE_CHECK(BiCGSTAB);
-#include <Grid/algorithms/iterative/ConjugateResidual.h>
-#include <Grid/algorithms/iterative/NormalEquations.h>
-#include <Grid/algorithms/iterative/SchurRedBlack.h>
-#include <Grid/algorithms/iterative/ConjugateGradientMultiShift.h>
-#include <Grid/algorithms/iterative/ConjugateGradientMixedPrec.h>
-#include <Grid/algorithms/iterative/BiCGSTABMixedPrec.h>
-#include <Grid/algorithms/iterative/BlockConjugateGradient.h>
-#include <Grid/algorithms/iterative/ConjugateGradientReliableUpdate.h>
-#include <Grid/algorithms/iterative/MinimalResidual.h>
-#include <Grid/algorithms/iterative/GeneralisedMinimalResidual.h>
-#include <Grid/algorithms/iterative/CommunicationAvoidingGeneralisedMinimalResidual.h>
-#include <Grid/algorithms/iterative/FlexibleGeneralisedMinimalResidual.h>
-#include <Grid/algorithms/iterative/FlexibleCommunicationAvoidingGeneralisedMinimalResidual.h>
-#include <Grid/algorithms/iterative/MixedPrecisionFlexibleGeneralisedMinimalResidual.h>
-#include <Grid/algorithms/iterative/ImplicitlyRestartedLanczos.h>
-#include <Grid/algorithms/iterative/PowerMethod.h>
-
-NAMESPACE_CHECK(PowerMethod);
-#include <Grid/algorithms/CoarsenedMatrix.h>
-NAMESPACE_CHECK(CoarsendMatrix);
-#include <Grid/algorithms/FFT.h>
-
-#endif

Grid/algorithms/CoarsenedMatrix.h

@@ -1,635 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/CoarsenedMatrix.h
-
-    Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-Author: Peter Boyle <peterboyle@Peters-MacBook-Pro-2.local>
-Author: paboyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef  GRID_ALGORITHM_COARSENED_MATRIX_H
-#define  GRID_ALGORITHM_COARSENED_MATRIX_H
-
-
-NAMESPACE_BEGIN(Grid);
-
-template<class vobj,class CComplex>
-inline void blockMaskedInnerProduct(Lattice<CComplex> &CoarseInner,
-				    const Lattice<decltype(innerProduct(vobj(),vobj()))> &FineMask,
-				    const Lattice<vobj> &fineX,
-				    const Lattice<vobj> &fineY)
-{
-  typedef decltype(innerProduct(vobj(),vobj())) dotp;
-
-  GridBase *coarse(CoarseInner.Grid());
-  GridBase *fine  (fineX.Grid());
-
-  Lattice<dotp> fine_inner(fine); fine_inner.Checkerboard() = fineX.Checkerboard();
-  Lattice<dotp> fine_inner_msk(fine);
-
-  // Multiply could be fused with innerProduct
-  // Single block sum kernel could do both masks.
-  fine_inner = localInnerProduct(fineX,fineY);
-  mult(fine_inner_msk, fine_inner,FineMask);
-  blockSum(CoarseInner,fine_inner_msk);
-}
-
-
-class Geometry {
-public:
-  int npoint;
-  std::vector<int> directions   ;
-  std::vector<int> displacements;
-
-  Geometry(int _d)  {
-    
-    int base = (_d==5) ? 1:0;
-
-    // make coarse grid stencil for 4d , not 5d
-    if ( _d==5 ) _d=4;
-
-    npoint = 2*_d+1;
-    directions.resize(npoint);
-    displacements.resize(npoint);
-    for(int d=0;d<_d;d++){
-      directions[d   ] = d+base;
-      directions[d+_d] = d+base;
-      displacements[d  ] = +1;
-      displacements[d+_d]= -1;
-    }
-    directions   [2*_d]=0;
-    displacements[2*_d]=0;
-  }
-
-};
-  
-template<class Fobj,class CComplex,int nbasis>
-class Aggregation   {
-public:
-  typedef iVector<CComplex,nbasis >             siteVector;
-  typedef Lattice<siteVector>                 CoarseVector;
-  typedef Lattice<iMatrix<CComplex,nbasis > > CoarseMatrix;
-
-  typedef Lattice< CComplex >   CoarseScalar; // used for inner products on fine field
-  typedef Lattice<Fobj >        FineField;
-
-  GridBase *CoarseGrid;
-  GridBase *FineGrid;
-  std::vector<Lattice<Fobj> > subspace;
-  int checkerboard;
-  int Checkerboard(void){return checkerboard;}
-  Aggregation(GridBase *_CoarseGrid,GridBase *_FineGrid,int _checkerboard) : 
-    CoarseGrid(_CoarseGrid),
-    FineGrid(_FineGrid),
-    subspace(nbasis,_FineGrid),
-    checkerboard(_checkerboard)
-  {
-  };
-  
-  void Orthogonalise(void){
-    CoarseScalar InnerProd(CoarseGrid); 
-    std::cout << GridLogMessage <<" Block Gramm-Schmidt pass 1"<<std::endl;
-    blockOrthogonalise(InnerProd,subspace);
-  } 
-  void ProjectToSubspace(CoarseVector &CoarseVec,const FineField &FineVec){
-    blockProject(CoarseVec,FineVec,subspace);
-  }
-  void PromoteFromSubspace(const CoarseVector &CoarseVec,FineField &FineVec){
-    FineVec.Checkerboard() = subspace[0].Checkerboard();
-    blockPromote(CoarseVec,FineVec,subspace);
-  }
-
-  virtual void CreateSubspace(GridParallelRNG  &RNG,LinearOperatorBase<FineField> &hermop,int nn=nbasis) {
-
-    RealD scale;
-
-    ConjugateGradient<FineField> CG(1.0e-2,100,false);
-    FineField noise(FineGrid);
-    FineField Mn(FineGrid);
-
-    for(int b=0;b<nn;b++){
-      
-      subspace[b] = Zero();
-      gaussian(RNG,noise);
-      scale = std::pow(norm2(noise),-0.5); 
-      noise=noise*scale;
-      
-      hermop.Op(noise,Mn); std::cout<<GridLogMessage << "noise   ["<<b<<"] <n|MdagM|n> "<<norm2(Mn)<<std::endl;
-
-      for(int i=0;i<1;i++){
-
-	CG(hermop,noise,subspace[b]);
-
-	noise = subspace[b];
-	scale = std::pow(norm2(noise),-0.5); 
-	noise=noise*scale;
-
-      }
-
-      hermop.Op(noise,Mn); std::cout<<GridLogMessage << "filtered["<<b<<"] <f|MdagM|f> "<<norm2(Mn)<<std::endl;
-      subspace[b]   = noise;
-
-    }
-  }
-
-  ////////////////////////////////////////////////////////////////////////////////////////////////
-  // World of possibilities here. But have tried quite a lot of experiments (250+ jobs run on Summit)
-  // and this is the best I found
-  ////////////////////////////////////////////////////////////////////////////////////////////////
-
-  virtual void CreateSubspaceChebyshev(GridParallelRNG  &RNG,LinearOperatorBase<FineField> &hermop,
-				       int nn,
-				       double hi,
-				       double lo,
-				       int orderfilter,
-				       int ordermin,
-				       int orderstep,
-				       double filterlo
-				       ) {
-
-    RealD scale;
-
-    FineField noise(FineGrid);
-    FineField Mn(FineGrid);
-    FineField tmp(FineGrid);
-
-    // New normalised noise
-    gaussian(RNG,noise);
-    scale = std::pow(norm2(noise),-0.5); 
-    noise=noise*scale;
-
-    // Initial matrix element
-    hermop.Op(noise,Mn); std::cout<<GridLogMessage << "noise <n|MdagM|n> "<<norm2(Mn)<<std::endl;
-
-    int b =0;
-    {
-      // Filter
-      Chebyshev<FineField> Cheb(lo,hi,orderfilter);
-      Cheb(hermop,noise,Mn);
-      // normalise
-      scale = std::pow(norm2(Mn),-0.5); 	Mn=Mn*scale;
-      subspace[b]   = Mn;
-      hermop.Op(Mn,tmp); 
-      std::cout<<GridLogMessage << "filt ["<<b<<"] <n|MdagM|n> "<<norm2(tmp)<<std::endl;
-      b++;
-    }
-
-    // Generate a full sequence of Chebyshevs
-    {
-      lo=filterlo;
-      noise=Mn;
-
-      FineField T0(FineGrid); T0 = noise;  
-      FineField T1(FineGrid); 
-      FineField T2(FineGrid);
-      FineField y(FineGrid);
-      
-      FineField *Tnm = &T0;
-      FineField *Tn  = &T1;
-      FineField *Tnp = &T2;
-
-      // Tn=T1 = (xscale M + mscale)in
-      RealD xscale = 2.0/(hi-lo);
-      RealD mscale = -(hi+lo)/(hi-lo);
-      hermop.HermOp(T0,y);
-      T1=y*xscale+noise*mscale;
-
-      for(int n=2;n<=ordermin+orderstep*(nn-2);n++){
-	
-	hermop.HermOp(*Tn,y);
-
-	autoView( y_v , y, AcceleratorWrite);
-	autoView( Tn_v , (*Tn), AcceleratorWrite);
-	autoView( Tnp_v , (*Tnp), AcceleratorWrite);
-	autoView( Tnm_v , (*Tnm), AcceleratorWrite);
-	const int Nsimd = CComplex::Nsimd();
-	accelerator_forNB(ss, FineGrid->oSites(), Nsimd, {
-	  coalescedWrite(y_v[ss],xscale*y_v(ss)+mscale*Tn_v(ss));
-	  coalescedWrite(Tnp_v[ss],2.0*y_v(ss)-Tnm_v(ss));
-        });
-
-	// Possible more fine grained control is needed than a linear sweep,
-	// but huge productivity gain if this is simple algorithm and not a tunable
-	int m =1;
-	if ( n>=ordermin ) m=n-ordermin;
-	if ( (m%orderstep)==0 ) { 
-	  Mn=*Tnp;
-	  scale = std::pow(norm2(Mn),-0.5);         Mn=Mn*scale;
-	  subspace[b] = Mn;
-	  hermop.Op(Mn,tmp); 
-	  std::cout<<GridLogMessage << n<<" filt ["<<b<<"] <n|MdagM|n> "<<norm2(tmp)<<std::endl;
-	  b++;
-	}
-
-	// Cycle pointers to avoid copies
-	FineField *swizzle = Tnm;
-	Tnm    =Tn;
-	Tn     =Tnp;
-	Tnp    =swizzle;
-	  
-      }
-    }
-    assert(b==nn);
-  }
-
-};
-
-// Fine Object == (per site) type of fine field
-// nbasis      == number of deflation vectors
-template<class Fobj,class CComplex,int nbasis>
-class CoarsenedMatrix : public SparseMatrixBase<Lattice<iVector<CComplex,nbasis > > >  {
-public:
-    
-  typedef iVector<CComplex,nbasis >           siteVector;
-  typedef Lattice<CComplex >                  CoarseComplexField;
-  typedef Lattice<siteVector>                 CoarseVector;
-  typedef Lattice<iMatrix<CComplex,nbasis > > CoarseMatrix;
-  typedef iMatrix<CComplex,nbasis >  Cobj;
-  typedef Lattice< CComplex >   CoarseScalar; // used for inner products on fine field
-  typedef Lattice<Fobj >        FineField;
-
-  ////////////////////
-  // Data members
-  ////////////////////
-  Geometry         geom;
-  GridBase *       _grid; 
-  int hermitian;
-
-  CartesianStencil<siteVector,siteVector,int> Stencil; 
-
-  std::vector<CoarseMatrix> A;
-    
-  ///////////////////////
-  // Interface
-  ///////////////////////
-  GridBase * Grid(void)         { return _grid; };   // this is all the linalg routines need to know
-
-  void M (const CoarseVector &in, CoarseVector &out)
-  {
-    conformable(_grid,in.Grid());
-    conformable(in.Grid(),out.Grid());
-
-    SimpleCompressor<siteVector> compressor;
-
-    Stencil.HaloExchange(in,compressor);
-    autoView( in_v , in, AcceleratorRead);
-    autoView( out_v , out, AcceleratorWrite);
-    typedef LatticeView<Cobj> Aview;
-      
-    Vector<Aview> AcceleratorViewContainer;
-  
-    for(int p=0;p<geom.npoint;p++) AcceleratorViewContainer.push_back(A[p].View(AcceleratorRead));
-    Aview *Aview_p = & AcceleratorViewContainer[0];
-
-    const int Nsimd = CComplex::Nsimd();
-    typedef decltype(coalescedRead(in_v[0])) calcVector;
-    typedef decltype(coalescedRead(in_v[0](0))) calcComplex;
-
-    int osites=Grid()->oSites();
-
-    accelerator_for(sss, Grid()->oSites()*nbasis, Nsimd, {
-      int ss = sss/nbasis;
-      int b  = sss%nbasis;
-      calcComplex res = Zero();
-      calcVector nbr;
-      int ptype;
-      StencilEntry *SE;
-
-      for(int point=0;point<geom.npoint;point++){
-
-	SE=Stencil.GetEntry(ptype,point,ss);
-	  
-	if(SE->_is_local) { 
-	  nbr = coalescedReadPermute(in_v[SE->_offset],ptype,SE->_permute);
-	} else {
-	  nbr = coalescedRead(Stencil.CommBuf()[SE->_offset]);
-	}
-	acceleratorSynchronise();
-
-	for(int bb=0;bb<nbasis;bb++) {
-	  res = res + coalescedRead(Aview_p[point][ss](b,bb))*nbr(bb);
-	}
-      }
-      coalescedWrite(out_v[ss](b),res);
-      });
-
-    for(int p=0;p<geom.npoint;p++) AcceleratorViewContainer[p].ViewClose();
-  };
-
-  void Mdag (const CoarseVector &in, CoarseVector &out)
-  {
-    if(hermitian) {
-      // corresponds to Petrov-Galerkin coarsening
-      return M(in,out);
-    } else {
-      // corresponds to Galerkin coarsening
-      CoarseVector tmp(Grid());
-      G5C(tmp, in); 
-      M(tmp, out);
-      G5C(out, out);
-    }
-  };
-  void MdirComms(const CoarseVector &in)
-  {
-    SimpleCompressor<siteVector> compressor;
-    Stencil.HaloExchange(in,compressor);
-  }
-  void MdirCalc(const CoarseVector &in, CoarseVector &out, int point)
-  {
-    conformable(_grid,in.Grid());
-    conformable(_grid,out.Grid());
-
-    typedef LatticeView<Cobj> Aview;
-    Vector<Aview> AcceleratorViewContainer;
-    for(int p=0;p<geom.npoint;p++) AcceleratorViewContainer.push_back(A[p].View(AcceleratorRead));
-    Aview *Aview_p = & AcceleratorViewContainer[0];
-
-    autoView( out_v , out, AcceleratorWrite);
-    autoView( in_v  , in, AcceleratorRead);
-
-    const int Nsimd = CComplex::Nsimd();
-    typedef decltype(coalescedRead(in_v[0])) calcVector;
-    typedef decltype(coalescedRead(in_v[0](0))) calcComplex;
-
-    accelerator_for(sss, Grid()->oSites()*nbasis, Nsimd, {
-      int ss = sss/nbasis;
-      int b  = sss%nbasis;
-      calcComplex res = Zero();
-      calcVector nbr;
-      int ptype;
-      StencilEntry *SE;
-
-      SE=Stencil.GetEntry(ptype,point,ss);
-	  
-      if(SE->_is_local) { 
-	nbr = coalescedReadPermute(in_v[SE->_offset],ptype,SE->_permute);
-      } else {
-	nbr = coalescedRead(Stencil.CommBuf()[SE->_offset]);
-      }
-      acceleratorSynchronise();
-
-      for(int bb=0;bb<nbasis;bb++) {
-	res = res + coalescedRead(Aview_p[point][ss](b,bb))*nbr(bb);
-      }
-      coalescedWrite(out_v[ss](b),res);
-    });
-    for(int p=0;p<geom.npoint;p++) AcceleratorViewContainer[p].ViewClose();
-  }
-  void MdirAll(const CoarseVector &in,std::vector<CoarseVector> &out)
-  {
-    this->MdirComms(in);
-    int ndir=geom.npoint-1;
-    if ((out.size()!=ndir)&&(out.size()!=ndir+1)) { 
-      std::cout <<"MdirAll out size "<< out.size()<<std::endl;
-      std::cout <<"MdirAll ndir "<< ndir<<std::endl;
-      assert(0);
-    }
-    for(int p=0;p<ndir;p++){
-      MdirCalc(in,out[p],p);
-    }
-  };
-  void Mdir(const CoarseVector &in, CoarseVector &out, int dir, int disp){
-
-    this->MdirComms(in);
-
-    int ndim = in.Grid()->Nd();
-
-    //////////////
-    // 4D action like wilson
-    // 0+ => 0 
-    // 0- => 1
-    // 1+ => 2 
-    // 1- => 3
-    // etc..
-    //////////////
-    // 5D action like DWF
-    // 1+ => 0 
-    // 1- => 1
-    // 2+ => 2 
-    // 2- => 3
-    // etc..
-    auto point = [dir, disp, ndim](){
-      if(dir == 0 and disp == 0)
-	return 8;
-      else if ( ndim==4 ) { 
-	return (4 * dir + 1 - disp) / 2;
-      } else { 
-	return (4 * (dir-1) + 1 - disp) / 2;
-      }
-    }();
-
-    MdirCalc(in,out,point);
-
-  };
-
-  void Mdiag(const CoarseVector &in, CoarseVector &out)
-  {
-    int point=geom.npoint-1;
-    MdirCalc(in, out, point); // No comms
-  };
-
-  
- CoarsenedMatrix(GridCartesian &CoarseGrid, int hermitian_=0) 	: 
-
-    _grid(&CoarseGrid),
-    geom(CoarseGrid._ndimension),
-    hermitian(hermitian_),
-    Stencil(&CoarseGrid,geom.npoint,Even,geom.directions,geom.displacements,0),
-      A(geom.npoint,&CoarseGrid)
-  {
-  };
-
-  void CoarsenOperator(GridBase *FineGrid,LinearOperatorBase<Lattice<Fobj> > &linop,
-		       Aggregation<Fobj,CComplex,nbasis> & Subspace)
-  {
-    typedef Lattice<typename Fobj::tensor_reduced> FineComplexField;
-    typedef typename Fobj::scalar_type scalar_type;
-
-    FineComplexField one(FineGrid); one=scalar_type(1.0,0.0);
-    FineComplexField zero(FineGrid); zero=scalar_type(0.0,0.0);
-
-    std::vector<FineComplexField> masks(geom.npoint,FineGrid);
-    FineComplexField imask(FineGrid); // contributions from within this block
-    FineComplexField omask(FineGrid); // contributions from outwith this block
-
-    FineComplexField evenmask(FineGrid);
-    FineComplexField oddmask(FineGrid); 
-
-    FineField     phi(FineGrid);
-    FineField     tmp(FineGrid);
-    FineField     zz(FineGrid); zz=Zero();
-    FineField    Mphi(FineGrid);
-    FineField    Mphie(FineGrid);
-    FineField    Mphio(FineGrid);
-    std::vector<FineField>     Mphi_p(geom.npoint,FineGrid);
-
-    Lattice<iScalar<vInteger> > coor (FineGrid);
-    Lattice<iScalar<vInteger> > bcoor(FineGrid);
-    Lattice<iScalar<vInteger> > bcb  (FineGrid); bcb = Zero();
-
-    CoarseVector iProj(Grid()); 
-    CoarseVector oProj(Grid()); 
-    CoarseVector SelfProj(Grid()); 
-    CoarseComplexField iZProj(Grid()); 
-    CoarseComplexField oZProj(Grid()); 
-
-    CoarseScalar InnerProd(Grid()); 
-
-    // Orthogonalise the subblocks over the basis
-    blockOrthogonalise(InnerProd,Subspace.subspace);
-
-    // Compute the matrix elements of linop between this orthonormal
-    // set of vectors.
-    int self_stencil=-1;
-    for(int p=0;p<geom.npoint;p++)
-    { 
-      int dir   = geom.directions[p];
-      int disp  = geom.displacements[p];
-      A[p]=Zero();
-      if( geom.displacements[p]==0){
-	self_stencil=p;
-      }
-
-      Integer block=(FineGrid->_rdimensions[dir])/(Grid()->_rdimensions[dir]);
-
-      LatticeCoordinate(coor,dir);
-
-      ///////////////////////////////////////////////////////
-      // Work out even and odd block checkerboarding for fast diagonal term
-      ///////////////////////////////////////////////////////
-      if ( disp==1 ) {
-	bcb   = bcb + div(coor,block);
-      }
-	
-      if ( disp==0 ) {
-	  masks[p]= Zero();
-      } else if ( disp==1 ) {
-	masks[p] = where(mod(coor,block)==(block-1),one,zero);
-      } else if ( disp==-1 ) {
-	masks[p] = where(mod(coor,block)==(Integer)0,one,zero);
-      }
-    }
-    evenmask = where(mod(bcb,2)==(Integer)0,one,zero);
-    oddmask  = one-evenmask;
-
-    assert(self_stencil!=-1);
-
-    for(int i=0;i<nbasis;i++){
-
-      phi=Subspace.subspace[i];
-
-      //      std::cout << GridLogMessage<< "CoarsenMatrix vector "<<i << std::endl;
-      linop.OpDirAll(phi,Mphi_p);
-      linop.OpDiag  (phi,Mphi_p[geom.npoint-1]);
-
-      for(int p=0;p<geom.npoint;p++){ 
-
-	Mphi = Mphi_p[p];
-
-	int dir   = geom.directions[p];
-	int disp  = geom.displacements[p];
-
-	if ( (disp==-1) || (!hermitian ) ) {
-
-	  ////////////////////////////////////////////////////////////////////////
-	  // Pick out contributions coming from this cell and neighbour cell
-	  ////////////////////////////////////////////////////////////////////////
-	  omask = masks[p];
-	  imask = one-omask;
-	
-	  for(int j=0;j<nbasis;j++){
-	    
-	    blockMaskedInnerProduct(oZProj,omask,Subspace.subspace[j],Mphi);
-	    
-	    autoView( iZProj_v , iZProj, AcceleratorRead) ;
-	    autoView( oZProj_v , oZProj, AcceleratorRead) ;
-	    autoView( A_p     ,  A[p], AcceleratorWrite);
-	    autoView( A_self  , A[self_stencil], AcceleratorWrite);
-
-	    accelerator_for(ss, Grid()->oSites(), Fobj::Nsimd(),{ coalescedWrite(A_p[ss](j,i),oZProj_v(ss)); });
-
-	  }
-	}
-      }
-
-      ///////////////////////////////////////////
-      // Faster alternate self coupling.. use hermiticity to save 2x
-      ///////////////////////////////////////////
-      {
-	mult(tmp,phi,evenmask);  linop.Op(tmp,Mphie);
-	mult(tmp,phi,oddmask );  linop.Op(tmp,Mphio);
-
-	{
-	  autoView( tmp_      , tmp, AcceleratorWrite);
-	  autoView( evenmask_ , evenmask, AcceleratorRead);
-	  autoView( oddmask_  ,  oddmask, AcceleratorRead);
-	  autoView( Mphie_    ,  Mphie, AcceleratorRead);
-	  autoView( Mphio_    ,  Mphio, AcceleratorRead);
-	  accelerator_for(ss, FineGrid->oSites(), Fobj::Nsimd(),{ 
-	      coalescedWrite(tmp_[ss],evenmask_(ss)*Mphie_(ss) + oddmask_(ss)*Mphio_(ss));
-	    });
-	}
-
-	blockProject(SelfProj,tmp,Subspace.subspace);
-
-	autoView( SelfProj_ , SelfProj, AcceleratorRead);
-	autoView( A_self  , A[self_stencil], AcceleratorWrite);
-
-	accelerator_for(ss, Grid()->oSites(), Fobj::Nsimd(),{
-	  for(int j=0;j<nbasis;j++){
-	    coalescedWrite(A_self[ss](j,i), SelfProj_(ss)(j));
-	  }
-	});
-
-      }
-    }
-    if(hermitian) {
-      std::cout << GridLogMessage << " ForceHermitian, new code "<<std::endl;
-      ForceHermitian();
-    }
-  }
-
-  void ForceHermitian(void) {
-    CoarseMatrix Diff  (Grid());
-    for(int p=0;p<geom.npoint;p++){
-      int dir   = geom.directions[p];
-      int disp  = geom.displacements[p];
-      if(disp==-1) {
-	// Find the opposite link
-	for(int pp=0;pp<geom.npoint;pp++){
-	  int dirp   = geom.directions[pp];
-	  int dispp  = geom.displacements[pp];
-	  if ( (dirp==dir) && (dispp==1) ){
-	    //	    Diff = adj(Cshift(A[p],dir,1)) - A[pp]; 
-	    //	    std::cout << GridLogMessage<<" Replacing stencil leg "<<pp<<" with leg "<<p<< " diff "<<norm2(Diff) <<std::endl;
-	    A[pp] = adj(Cshift(A[p],dir,1));
-	  }
-	}
-      }
-    }
-  }
-};
-
-NAMESPACE_END(Grid);
-#endif

Grid/algorithms/FFT.h

@@ -1,296 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/Cshift.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef _GRID_FFT_H_
-#define _GRID_FFT_H_
-
-#ifdef HAVE_FFTW
-#ifdef USE_MKL
-#include <fftw/fftw3.h>
-#else
-#include <fftw3.h>
-#endif
-#endif
-
-NAMESPACE_BEGIN(Grid);
-
-template<class scalar> struct FFTW { };
-
-#ifdef HAVE_FFTW	
-template<> struct FFTW<ComplexD> {
-public:
-
-  typedef fftw_complex FFTW_scalar;
-  typedef fftw_plan    FFTW_plan;
-
-  static FFTW_plan fftw_plan_many_dft(int rank, const int *n,int howmany,
-				      FFTW_scalar *in, const int *inembed,		
-				      int istride, int idist,		
-				      FFTW_scalar *out, const int *onembed,		
-				      int ostride, int odist,		
-				      int sign, unsigned flags) {
-    return ::fftw_plan_many_dft(rank,n,howmany,in,inembed,istride,idist,out,onembed,ostride,odist,sign,flags);
-  }	  
-    
-  static void fftw_flops(const FFTW_plan p,double *add, double *mul, double *fmas){
-    ::fftw_flops(p,add,mul,fmas);
-  }
-
-  inline static void fftw_execute_dft(const FFTW_plan p,FFTW_scalar *in,FFTW_scalar *out) {
-    ::fftw_execute_dft(p,in,out);
-  }
-  inline static void fftw_destroy_plan(const FFTW_plan p) {
-    ::fftw_destroy_plan(p);
-  }
-};
-
-template<> struct FFTW<ComplexF> {
-public:
-
-  typedef fftwf_complex FFTW_scalar;
-  typedef fftwf_plan    FFTW_plan;
-
-  static FFTW_plan fftw_plan_many_dft(int rank, const int *n,int howmany,
-				      FFTW_scalar *in, const int *inembed,		
-				      int istride, int idist,		
-				      FFTW_scalar *out, const int *onembed,		
-				      int ostride, int odist,		
-				      int sign, unsigned flags) {
-    return ::fftwf_plan_many_dft(rank,n,howmany,in,inembed,istride,idist,out,onembed,ostride,odist,sign,flags);
-  }	  
-    
-  static void fftw_flops(const FFTW_plan p,double *add, double *mul, double *fmas){
-    ::fftwf_flops(p,add,mul,fmas);
-  }
-
-  inline static void fftw_execute_dft(const FFTW_plan p,FFTW_scalar *in,FFTW_scalar *out) {
-    ::fftwf_execute_dft(p,in,out);
-  }
-  inline static void fftw_destroy_plan(const FFTW_plan p) {
-    ::fftwf_destroy_plan(p);
-  }
-};
-
-#endif
-
-#ifndef FFTW_FORWARD
-#define FFTW_FORWARD (-1)
-#define FFTW_BACKWARD (+1)
-#endif
-
-class FFT {
-private:
-    
-  GridCartesian *vgrid;
-  GridCartesian *sgrid;
-    
-  int Nd;
-  double flops;
-  double flops_call;
-  uint64_t usec;
-    
-  Coordinate dimensions;
-  Coordinate processors;
-  Coordinate processor_coor;
-    
-public:
-    
-  static const int forward=FFTW_FORWARD;
-  static const int backward=FFTW_BACKWARD;
-    
-  double Flops(void) {return flops;}
-  double MFlops(void) {return flops/usec;}
-  double USec(void)   {return (double)usec;}    
-
-  FFT ( GridCartesian * grid ) :
-    vgrid(grid),
-    Nd(grid->_ndimension),
-    dimensions(grid->_fdimensions),
-    processors(grid->_processors),
-    processor_coor(grid->_processor_coor)
-  {
-    flops=0;
-    usec =0;
-    Coordinate layout(Nd,1);
-    sgrid = new GridCartesian(dimensions,layout,processors);
-  };
-    
-  ~FFT ( void)  {
-    delete sgrid;
-  }
-    
-  template<class vobj>
-  void FFT_dim_mask(Lattice<vobj> &result,const Lattice<vobj> &source,Coordinate mask,int sign){
-
-    conformable(result.Grid(),vgrid);
-    conformable(source.Grid(),vgrid);
-    Lattice<vobj> tmp(vgrid);
-    tmp = source;
-    for(int d=0;d<Nd;d++){
-      if( mask[d] ) {
-	FFT_dim(result,tmp,d,sign);
-	tmp=result;
-      }
-    }
-  }
-
-  template<class vobj>
-  void FFT_all_dim(Lattice<vobj> &result,const Lattice<vobj> &source,int sign){
-    Coordinate mask(Nd,1);
-    FFT_dim_mask(result,source,mask,sign);
-  }
-
-
-  template<class vobj>
-  void FFT_dim(Lattice<vobj> &result,const Lattice<vobj> &source,int dim, int sign){
-#ifndef HAVE_FFTW
-    assert(0);
-#else
-    conformable(result.Grid(),vgrid);
-    conformable(source.Grid(),vgrid);
-
-    int L = vgrid->_ldimensions[dim];
-    int G = vgrid->_fdimensions[dim];
-      
-    Coordinate layout(Nd,1);
-    Coordinate pencil_gd(vgrid->_fdimensions);
-      
-    pencil_gd[dim] = G*processors[dim];
-      
-    // Pencil global vol LxLxGxLxL per node
-    GridCartesian pencil_g(pencil_gd,layout,processors);
-      
-    // Construct pencils
-    typedef typename vobj::scalar_object sobj;
-    typedef typename sobj::scalar_type   scalar;
-      
-    Lattice<sobj> pgbuf(&pencil_g);
-    autoView(pgbuf_v , pgbuf, CpuWrite);
-
-    typedef typename FFTW<scalar>::FFTW_scalar FFTW_scalar;
-    typedef typename FFTW<scalar>::FFTW_plan   FFTW_plan;
-      
-    int Ncomp = sizeof(sobj)/sizeof(scalar);
-    int Nlow  = 1;
-    for(int d=0;d<dim;d++){
-      Nlow*=vgrid->_ldimensions[d];
-    }
-      
-    int rank = 1;  /* 1d transforms */
-    int n[] = {G}; /* 1d transforms of length G */
-    int howmany = Ncomp;
-    int odist,idist,istride,ostride;
-    idist   = odist   = 1;          /* Distance between consecutive FT's */
-    istride = ostride = Ncomp*Nlow; /* distance between two elements in the same FT */
-    int *inembed = n, *onembed = n;
-      
-    scalar div;
-    if ( sign == backward ) div = 1.0/G;
-    else if ( sign == forward ) div = 1.0;
-    else assert(0);
-      
-    FFTW_plan p;
-    {
-      FFTW_scalar *in = (FFTW_scalar *)&pgbuf_v[0];
-      FFTW_scalar *out= (FFTW_scalar *)&pgbuf_v[0];
-      p = FFTW<scalar>::fftw_plan_many_dft(rank,n,howmany,
-					   in,inembed,
-					   istride,idist,
-					   out,onembed,
-					   ostride, odist,
-					   sign,FFTW_ESTIMATE);
-    }
-      
-    // Barrel shift and collect global pencil
-    Coordinate lcoor(Nd), gcoor(Nd);
-    result = source;
-    int pc = processor_coor[dim];
-    for(int p=0;p<processors[dim];p++) {
-      {
-	autoView(r_v,result,CpuRead);
-	autoView(p_v,pgbuf,CpuWrite);
-	thread_for(idx, sgrid->lSites(),{
-          Coordinate cbuf(Nd);
-          sobj s;
-	  sgrid->LocalIndexToLocalCoor(idx,cbuf);
-	  peekLocalSite(s,r_v,cbuf);
-	  cbuf[dim]+=((pc+p) % processors[dim])*L;
-	  pokeLocalSite(s,p_v,cbuf);
-        });
-      }
-      if (p != processors[dim] - 1) {
-	result = Cshift(result,dim,L);
-      }
-    }
-      
-    // Loop over orthog coords
-    int NN=pencil_g.lSites();
-    GridStopWatch timer;
-    timer.Start();
-    thread_for( idx,NN,{
-        Coordinate cbuf(Nd);
-	pencil_g.LocalIndexToLocalCoor(idx, cbuf);
-	if ( cbuf[dim] == 0 ) {  // restricts loop to plane at lcoor[dim]==0
-	  FFTW_scalar *in = (FFTW_scalar *)&pgbuf_v[idx];
-	  FFTW_scalar *out= (FFTW_scalar *)&pgbuf_v[idx];
-	  FFTW<scalar>::fftw_execute_dft(p,in,out);
-	}
-    });
-    timer.Stop();
-      
-    // performance counting
-    double add,mul,fma;
-    FFTW<scalar>::fftw_flops(p,&add,&mul,&fma);
-    flops_call = add+mul+2.0*fma;
-    usec += timer.useconds();
-    flops+= flops_call*NN;
-      
-    // writing out result
-    {
-      autoView(pgbuf_v,pgbuf,CpuRead);
-      autoView(result_v,result,CpuWrite);
-      thread_for(idx,sgrid->lSites(),{
-	Coordinate clbuf(Nd), cgbuf(Nd);
-	sobj s;
-	sgrid->LocalIndexToLocalCoor(idx,clbuf);
-	cgbuf = clbuf;
-	cgbuf[dim] = clbuf[dim]+L*pc;
-	peekLocalSite(s,pgbuf_v,cgbuf);
-	pokeLocalSite(s,result_v,clbuf);
-      });
-    }
-    result = result*div;
-      
-    // destroying plan
-    FFTW<scalar>::fftw_destroy_plan(p);
-#endif
-  }
-};
-
-NAMESPACE_END(Grid);
-
-#endif

Grid/algorithms/LinearOperator.h

@@ -1,626 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/LinearOperator.h
-
-    Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#pragma once 
-
-NAMESPACE_BEGIN(Grid);
-
-/////////////////////////////////////////////////////////////////////////////////////////////
-// LinearOperators Take a something and return a something.
-/////////////////////////////////////////////////////////////////////////////////////////////
-//
-// Hopefully linearity is satisfied and the AdjOp is indeed the Hermitian Conjugateugate (transpose if real):
-//SBase
-//   i)  F(a x + b y) = aF(x) + b F(y).
-//  ii)  <x|Op|y> = <y|AdjOp|x>^\ast
-//
-// Would be fun to have a test linearity & Herm Conj function!
-/////////////////////////////////////////////////////////////////////////////////////////////
-template<class Field> class LinearOperatorBase {
-public:
-  // Support for coarsening to a multigrid
-  virtual void OpDiag (const Field &in, Field &out) = 0; // Abstract base
-  virtual void OpDir  (const Field &in, Field &out,int dir,int disp) = 0; // Abstract base
-  virtual void OpDirAll  (const Field &in, std::vector<Field> &out) = 0; // Abstract base
-
-  virtual void Op     (const Field &in, Field &out) = 0; // Abstract base
-  virtual void AdjOp  (const Field &in, Field &out) = 0; // Abstract base
-  virtual void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2)=0;
-  virtual void HermOp(const Field &in, Field &out)=0;
-};
-
-
-/////////////////////////////////////////////////////////////////////////////////////////////
-// By sharing the class for Sparse Matrix across multiple operator wrappers, we can share code
-// between RB and non-RB variants. Sparse matrix is like the fermion action def, and then
-// the wrappers implement the specialisation of "Op" and "AdjOp" to the cases minimising
-// replication of code.
-//
-// I'm not entirely happy with implementation; to share the Schur code between herm and non-herm
-// while still having a "OpAndNorm" in the abstract base I had to implement it in both cases
-// with an assert trap in the non-herm. This isn't right; there must be a better C++ way to
-// do it, but I fear it required multiple inheritance and mixed in abstract base classes
-/////////////////////////////////////////////////////////////////////////////////////////////
-
-////////////////////////////////////////////////////////////////////
-// Construct herm op from non-herm matrix
-////////////////////////////////////////////////////////////////////
-template<class Matrix,class Field>
-class MdagMLinearOperator : public LinearOperatorBase<Field> {
-  Matrix &_Mat;
-public:
-  MdagMLinearOperator(Matrix &Mat): _Mat(Mat){};
-
-  // Support for coarsening to a multigrid
-  void OpDiag (const Field &in, Field &out) {
-    _Mat.Mdiag(in,out);
-  }
-  void OpDir  (const Field &in, Field &out,int dir,int disp) {
-    _Mat.Mdir(in,out,dir,disp);
-  }
-  void OpDirAll  (const Field &in, std::vector<Field> &out){
-    _Mat.MdirAll(in,out);
-  };
-  void Op     (const Field &in, Field &out){
-    _Mat.M(in,out);
-  }
-  void AdjOp     (const Field &in, Field &out){
-    _Mat.Mdag(in,out);
-  }
-  void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
-    _Mat.MdagM(in,out);
-    ComplexD dot = innerProduct(in,out);
-    n1=real(dot);
-    n2=norm2(out);
-  }
-  void HermOp(const Field &in, Field &out){
-    _Mat.MdagM(in,out);
-  }
-};
-
-////////////////////////////////////////////////////////////////////
-// Construct herm op and shift it for mgrid smoother
-////////////////////////////////////////////////////////////////////
-template<class Matrix,class Field>
-class ShiftedMdagMLinearOperator : public LinearOperatorBase<Field> {
-  Matrix &_Mat;
-  RealD _shift;
-public:
-  ShiftedMdagMLinearOperator(Matrix &Mat,RealD shift): _Mat(Mat), _shift(shift){};
-  // Support for coarsening to a multigrid
-  void OpDiag (const Field &in, Field &out) {
-    _Mat.Mdiag(in,out);
-    assert(0);
-  }
-  void OpDir  (const Field &in, Field &out,int dir,int disp) {
-    _Mat.Mdir(in,out,dir,disp);
-    assert(0);
-  }
-  void OpDirAll  (const Field &in, std::vector<Field> &out){
-    assert(0);
-  };
-  void Op     (const Field &in, Field &out){
-    _Mat.M(in,out);
-    assert(0);
-  }
-  void AdjOp     (const Field &in, Field &out){
-    _Mat.Mdag(in,out);
-    assert(0);
-  }
-  void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
-    HermOp(in,out);
-    ComplexD dot = innerProduct(in,out);
-    n1=real(dot);
-    n2=norm2(out);
-  }
-  void HermOp(const Field &in, Field &out){
-    _Mat.MdagM(in,out);
-    out = out + _shift*in;
-  }
-};
-
-////////////////////////////////////////////////////////////////////
-// Wrap an already herm matrix
-////////////////////////////////////////////////////////////////////
-template<class Matrix,class Field>
-class HermitianLinearOperator : public LinearOperatorBase<Field> {
-  Matrix &_Mat;
-public:
-  HermitianLinearOperator(Matrix &Mat): _Mat(Mat){};
-  // Support for coarsening to a multigrid
-  void OpDiag (const Field &in, Field &out) {
-    _Mat.Mdiag(in,out);
-  }
-  void OpDir  (const Field &in, Field &out,int dir,int disp) {
-    _Mat.Mdir(in,out,dir,disp);
-  }
-  void OpDirAll  (const Field &in, std::vector<Field> &out){
-    _Mat.MdirAll(in,out);
-  };
-  void Op     (const Field &in, Field &out){
-    _Mat.M(in,out);
-  }
-  void AdjOp     (const Field &in, Field &out){
-    _Mat.M(in,out);
-  }
-  void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
-    HermOp(in,out);
-    ComplexD dot= innerProduct(in,out); n1=real(dot);
-    n2=norm2(out);
-  }
-  void HermOp(const Field &in, Field &out){
-    _Mat.M(in,out);
-  }
-};
-
-template<class Matrix,class Field>
-class NonHermitianLinearOperator : public LinearOperatorBase<Field> {
-  Matrix &_Mat;
-public:
-  NonHermitianLinearOperator(Matrix &Mat): _Mat(Mat){};
-  // Support for coarsening to a multigrid
-  void OpDiag (const Field &in, Field &out) {
-    _Mat.Mdiag(in,out);
-  }
-  void OpDir  (const Field &in, Field &out,int dir,int disp) {
-    _Mat.Mdir(in,out,dir,disp);
-  }
-  void OpDirAll  (const Field &in, std::vector<Field> &out){
-    _Mat.MdirAll(in,out);
-  };
-  void Op     (const Field &in, Field &out){
-    _Mat.M(in,out);
-  }
-  void AdjOp     (const Field &in, Field &out){
-    _Mat.Mdag(in,out);
-  }
-  void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
-    assert(0);
-  }
-  void HermOp(const Field &in, Field &out){
-    assert(0);
-  }
-};
-
-//////////////////////////////////////////////////////////
-// Even Odd Schur decomp operators; there are several
-// ways to introduce the even odd checkerboarding
-//////////////////////////////////////////////////////////
-
-template<class Field>
-class SchurOperatorBase :  public LinearOperatorBase<Field> {
- public:
-  virtual  void Mpc      (const Field &in, Field &out) =0;
-  virtual  void MpcDag   (const Field &in, Field &out) =0;
-  virtual  void MpcDagMpc(const Field &in, Field &out) {
-    Field tmp(in.Grid());
-    tmp.Checkerboard() = in.Checkerboard();
-    Mpc(in,tmp);
-    MpcDag(tmp,out);
-  }
-  virtual void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
-    out.Checkerboard() = in.Checkerboard();
-    MpcDagMpc(in,out);
-    ComplexD dot= innerProduct(in,out); 
-    n1=real(dot);
-    n2=norm2(out);
-  }
-  virtual void HermOp(const Field &in, Field &out){
-    out.Checkerboard() = in.Checkerboard();
-    MpcDagMpc(in,out);
-  }
-  void Op     (const Field &in, Field &out){
-    Mpc(in,out);
-  }
-  void AdjOp     (const Field &in, Field &out){ 
-    MpcDag(in,out);
-  }
-  // Support for coarsening to a multigrid
-  void OpDiag (const Field &in, Field &out) {
-    assert(0); // must coarsen the unpreconditioned system
-  }
-  void OpDir  (const Field &in, Field &out,int dir,int disp) {
-    assert(0);
-  }
-  void OpDirAll  (const Field &in, std::vector<Field> &out){
-    assert(0);
-  };
-};
-template<class Matrix,class Field>
-  class SchurDiagMooeeOperator :  public SchurOperatorBase<Field> {
- public:
-    Matrix &_Mat;
-    SchurDiagMooeeOperator (Matrix &Mat): _Mat(Mat){};
-    virtual  void Mpc      (const Field &in, Field &out) {
-      Field tmp(in.Grid());
-      tmp.Checkerboard() = !in.Checkerboard();
-      
-      _Mat.Meooe(in,tmp);
-      _Mat.MooeeInv(tmp,out);
-      _Mat.Meooe(out,tmp);
-      _Mat.Mooee(in,out);
-      axpy(out,-1.0,tmp,out);
-    }
-    virtual void MpcDag   (const Field &in, Field &out){
-      Field tmp(in.Grid());
-	
-      _Mat.MeooeDag(in,tmp);
-      _Mat.MooeeInvDag(tmp,out);
-      _Mat.MeooeDag(out,tmp);
-      _Mat.MooeeDag(in,out);
-      axpy(out,-1.0,tmp,out);
-    }
-};
-template<class Matrix,class Field>
-  class SchurDiagOneOperator :  public SchurOperatorBase<Field> {
- protected:
-    Matrix &_Mat;
- public:
-    SchurDiagOneOperator (Matrix &Mat): _Mat(Mat){};
-    
-    virtual void Mpc      (const Field &in, Field &out) {
-      Field tmp(in.Grid());
-
-      _Mat.Meooe(in,out);
-      _Mat.MooeeInv(out,tmp);
-      _Mat.Meooe(tmp,out);
-      _Mat.MooeeInv(out,tmp);
-      axpy(out,-1.0,tmp,in);
-    }
-    virtual void MpcDag   (const Field &in, Field &out){
-      Field tmp(in.Grid());
-      
-      _Mat.MooeeInvDag(in,out);
-      _Mat.MeooeDag(out,tmp);
-      _Mat.MooeeInvDag(tmp,out);
-      _Mat.MeooeDag(out,tmp);
-      axpy(out,-1.0,tmp,in);
-    }
-};
-template<class Matrix,class Field>
-  class SchurDiagTwoOperator :  public SchurOperatorBase<Field> {
- protected:
-    Matrix &_Mat;
- public:
-    SchurDiagTwoOperator (Matrix &Mat): _Mat(Mat){};
-    
-    virtual void Mpc      (const Field &in, Field &out) {
-      Field tmp(in.Grid());
-      
-      _Mat.MooeeInv(in,out);
-      _Mat.Meooe(out,tmp);
-      _Mat.MooeeInv(tmp,out);
-      _Mat.Meooe(out,tmp);
-      
-      axpy(out,-1.0,tmp,in);
-    }
-    virtual  void MpcDag   (const Field &in, Field &out){
-      Field tmp(in.Grid());
-
-      _Mat.MeooeDag(in,out);
-      _Mat.MooeeInvDag(out,tmp);
-      _Mat.MeooeDag(tmp,out);
-      _Mat.MooeeInvDag(out,tmp);
-
-      axpy(out,-1.0,tmp,in);
-    }
-};
-
-template<class Field>
-class NonHermitianSchurOperatorBase :  public LinearOperatorBase<Field> 
-{
- public:
-  virtual void  Mpc      (const Field& in, Field& out) = 0;
-  virtual void  MpcDag   (const Field& in, Field& out) = 0;
-  virtual void  MpcDagMpc(const Field& in, Field& out) {
-    Field tmp(in.Grid());
-    tmp.Checkerboard() = in.Checkerboard();
-    Mpc(in,tmp);
-    MpcDag(tmp,out);
-  }
-  virtual void HermOpAndNorm(const Field& in, Field& out, RealD& n1, RealD& n2) {
-    assert(0);
-  }
-  virtual void HermOp(const Field& in, Field& out) {
-    assert(0);
-  }
-  void Op(const Field& in, Field& out) {
-    Mpc(in, out);
-  }
-  void AdjOp(const Field& in, Field& out) { 
-    MpcDag(in, out);
-  }
-  // Support for coarsening to a multigrid
-  void OpDiag(const Field& in, Field& out) {
-    assert(0); // must coarsen the unpreconditioned system
-  }
-  void OpDir(const Field& in, Field& out, int dir, int disp) {
-    assert(0);
-  }
-  void OpDirAll(const Field& in, std::vector<Field>& out){
-    assert(0);
-  };
-};
-
-template<class Matrix, class Field>
-class NonHermitianSchurDiagMooeeOperator :  public NonHermitianSchurOperatorBase<Field> 
-{
- public:
-  Matrix& _Mat;
- NonHermitianSchurDiagMooeeOperator(Matrix& Mat): _Mat(Mat){};
-  virtual void Mpc(const Field& in, Field& out) {
-    Field tmp(in.Grid());
-    tmp.Checkerboard() = !in.Checkerboard();
-    
-    _Mat.Meooe(in, tmp);
-    _Mat.MooeeInv(tmp, out);
-    _Mat.Meooe(out, tmp);
-    
-    _Mat.Mooee(in, out);
-    
-    axpy(out, -1.0, tmp, out);
-  }
-  virtual void MpcDag(const Field& in, Field& out) {
-    Field tmp(in.Grid());
-    
-    _Mat.MeooeDag(in, tmp);
-    _Mat.MooeeInvDag(tmp, out);
-    _Mat.MeooeDag(out, tmp);
-	  
-    _Mat.MooeeDag(in, out);
-    
-    axpy(out, -1.0, tmp, out);
-  }
-};
-    
-template<class Matrix,class Field>
-class NonHermitianSchurDiagOneOperator : public NonHermitianSchurOperatorBase<Field> 
-{
- protected:
-  Matrix &_Mat;
-  
- public:
-  NonHermitianSchurDiagOneOperator (Matrix& Mat): _Mat(Mat){};
-  virtual void Mpc(const Field& in, Field& out) {
-    Field tmp(in.Grid());
-	  
-    _Mat.Meooe(in, out);
-    _Mat.MooeeInv(out, tmp);
-    _Mat.Meooe(tmp, out);
-    _Mat.MooeeInv(out, tmp);
-
-    axpy(out, -1.0, tmp, in);
-  }
-  virtual void MpcDag(const Field& in, Field& out) {
-    Field tmp(in.Grid());
-    
-    _Mat.MooeeInvDag(in, out);
-    _Mat.MeooeDag(out, tmp);
-    _Mat.MooeeInvDag(tmp, out);
-    _Mat.MeooeDag(out, tmp);
-    
-    axpy(out, -1.0, tmp, in);
-  }
-};
-
-template<class Matrix, class Field>
-class NonHermitianSchurDiagTwoOperator : public NonHermitianSchurOperatorBase<Field> 
-{
- protected:
-  Matrix& _Mat;
-  
- public:
- NonHermitianSchurDiagTwoOperator(Matrix& Mat): _Mat(Mat){};
-
-  virtual void Mpc(const Field& in, Field& out) {
-    Field tmp(in.Grid());
-    
-    _Mat.MooeeInv(in, out);
-    _Mat.Meooe(out, tmp);
-    _Mat.MooeeInv(tmp, out);
-    _Mat.Meooe(out, tmp);
-
-    axpy(out, -1.0, tmp, in);
-  }
-  virtual void MpcDag(const Field& in, Field& out) {
-    Field tmp(in.Grid());
-    
-    _Mat.MeooeDag(in, out);
-    _Mat.MooeeInvDag(out, tmp);
-    _Mat.MeooeDag(tmp, out);
-    _Mat.MooeeInvDag(out, tmp);
-
-    axpy(out, -1.0, tmp, in);
-  }
-};
-
-///////////////////////////////////////////////////////////////////////////////////////////////////
-// Left  handed Moo^-1 ; (Moo - Moe Mee^-1 Meo) psi = eta  -->  ( 1 - Moo^-1 Moe Mee^-1 Meo ) psi = Moo^-1 eta
-// Right handed Moo^-1 ; (Moo - Moe Mee^-1 Meo) Moo^-1 Moo psi = eta  -->  ( 1 - Moe Mee^-1 Meo Moo^-1) phi=eta ; psi = Moo^-1 phi
-///////////////////////////////////////////////////////////////////////////////////////////////////
-template<class Matrix,class Field> using SchurDiagOneRH = SchurDiagTwoOperator<Matrix,Field> ;
-template<class Matrix,class Field> using SchurDiagOneLH = SchurDiagOneOperator<Matrix,Field> ;
-///////////////////////////////////////////////////////////////////////////////////////////////////
-//  Staggered use
-///////////////////////////////////////////////////////////////////////////////////////////////////
-template<class Matrix,class Field>
-class SchurStaggeredOperator :  public SchurOperatorBase<Field> {
- protected:
-  Matrix &_Mat;
-  Field tmp;
-  RealD mass;
- public:
-  SchurStaggeredOperator (Matrix &Mat): _Mat(Mat), tmp(_Mat.RedBlackGrid()) 
-  { 
-    assert( _Mat.isTrivialEE() );
-    mass = _Mat.Mass();
-  }
-  virtual void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
-    Mpc(in,out);
-    ComplexD dot= innerProduct(in,out);
-    n1 = real(dot);
-    n2 =0.0;
-  }
-  virtual void HermOp(const Field &in, Field &out){
-    Mpc(in,out);
-    //    _Mat.Meooe(in,out);
-    //    _Mat.Meooe(out,tmp);
-    //    axpby(out,-1.0,mass*mass,tmp,in);
-  }
-  virtual  void Mpc      (const Field &in, Field &out) 
-  {
-    Field tmp(in.Grid());
-    Field tmp2(in.Grid());
-	
-    //    _Mat.Mooee(in,out);
-    //    _Mat.Mooee(out,tmp);
-
-    _Mat.Meooe(in,out);
-    _Mat.Meooe(out,tmp);
-    axpby(out,-1.0,mass*mass,tmp,in);
-  }
-  virtual  void MpcDag   (const Field &in, Field &out){
-    Mpc(in,out);
-  }
-  virtual void MpcDagMpc(const Field &in, Field &out,RealD &ni,RealD &no) {
-    assert(0);// Never need with staggered
-  }
-};
-template<class Matrix,class Field> using SchurStagOperator = SchurStaggeredOperator<Matrix,Field>;
-
-/////////////////////////////////////////////////////////////
-// Base classes for functions of operators
-/////////////////////////////////////////////////////////////
-template<class Field> class OperatorFunction {
-public:
-  virtual void operator() (LinearOperatorBase<Field> &Linop, const Field &in, Field &out) = 0;
-  virtual void operator() (LinearOperatorBase<Field> &Linop, const std::vector<Field> &in,std::vector<Field> &out) {
-    assert(in.size()==out.size());
-    for(int k=0;k<in.size();k++){
-      (*this)(Linop,in[k],out[k]);
-    }
-  };
-};
-
-template<class Field> class LinearFunction {
-public:
-  virtual void operator() (const Field &in, Field &out) = 0;
-};
-
-template<class Field> class IdentityLinearFunction : public LinearFunction<Field> {
-public:
-  void operator() (const Field &in, Field &out){
-    out = in;
-  };
-};
-
-
-/////////////////////////////////////////////////////////////
-// Base classes for Multishift solvers for operators
-/////////////////////////////////////////////////////////////
-template<class Field> class OperatorMultiFunction {
-public:
-  virtual void operator() (LinearOperatorBase<Field> &Linop, const Field &in, std::vector<Field> &out) = 0;
-};
-
-// FIXME : To think about
-
-// Chroma functionality list defining LinearOperator
-/*
-  virtual void operator() (T& chi, const T& psi, enum PlusMinus isign) const = 0;
-  virtual void operator() (T& chi, const T& psi, enum PlusMinus isign, Real epsilon) const
-  virtual const Subset& subset() const = 0;
-  virtual unsigned long nFlops() const { return 0; }
-  virtual void deriv(P& ds_u, const T& chi, const T& psi, enum PlusMinus isign) const
-  class UnprecLinearOperator : public DiffLinearOperator<T,P,Q>
-  const Subset& subset() const {return all;}
-  };
-*/
-
-////////////////////////////////////////////////////////////////////////////////////////////
-// Hermitian operator Linear function and operator function
-////////////////////////////////////////////////////////////////////////////////////////////
-template<class Field>
-class HermOpOperatorFunction : public OperatorFunction<Field> {
-  void operator() (LinearOperatorBase<Field> &Linop, const Field &in, Field &out) {
-    Linop.HermOp(in,out);
-  };
-};
-
-template<typename Field>
-class PlainHermOp : public LinearFunction<Field> {
-public:
-  LinearOperatorBase<Field> &_Linop;
-      
-  PlainHermOp(LinearOperatorBase<Field>& linop) : _Linop(linop) 
-  {}
-      
-  void operator()(const Field& in, Field& out) {
-    _Linop.HermOp(in,out);
-  }
-};
-
-template<typename Field>
-class FunctionHermOp : public LinearFunction<Field> {
-public:
-  OperatorFunction<Field>   & _poly;
-  LinearOperatorBase<Field> &_Linop;
-      
-  FunctionHermOp(OperatorFunction<Field> & poly,LinearOperatorBase<Field>& linop) 
-    : _poly(poly), _Linop(linop) {};
-      
-  void operator()(const Field& in, Field& out) {
-    _poly(_Linop,in,out);
-  }
-};
-
-template<class Field>
-class Polynomial : public OperatorFunction<Field> {
-private:
-  std::vector<RealD> Coeffs;
-public:
-  using OperatorFunction<Field>::operator();
-
-  Polynomial(std::vector<RealD> &_Coeffs) : Coeffs(_Coeffs) { };
-
-  // Implement the required interface
-  void operator() (LinearOperatorBase<Field> &Linop, const Field &in, Field &out) {
-
-    Field AtoN(in.Grid());
-    Field Mtmp(in.Grid());
-    AtoN = in;
-    out = AtoN*Coeffs[0];
-    for(int n=1;n<Coeffs.size();n++){
-      Mtmp = AtoN;
-      Linop.HermOp(Mtmp,AtoN);
-      out=out+AtoN*Coeffs[n];
-    }
-  };
-};
-
-NAMESPACE_END(Grid);

Grid/algorithms/Preconditioner.h

@@ -1,46 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/Preconditioner.h
-
-    Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_PRECONDITIONER_H
-#define GRID_PRECONDITIONER_H
-
-NAMESPACE_BEGIN(Grid);
-
-template<class Field> class Preconditioner :  public LinearFunction<Field> { 
-  virtual void operator()(const Field &src, Field & psi)=0;
-};
-
-template<class Field> class TrivialPrecon :  public Preconditioner<Field> { 
-public:
-  void operator()(const Field &src, Field & psi){
-    psi = src;
-  }
-  TrivialPrecon(void){};
-};
-
-NAMESPACE_END(Grid);
-#endif

Grid/algorithms/SparseMatrix.h

@@ -1,80 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/SparseMatrix.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef  GRID_ALGORITHM_SPARSE_MATRIX_H
-#define  GRID_ALGORITHM_SPARSE_MATRIX_H
-
-
-NAMESPACE_BEGIN(Grid);
-
-/////////////////////////////////////////////////////////////////////////////////////////////
-// Interface defining what I expect of a general sparse matrix, such as a Fermion action
-/////////////////////////////////////////////////////////////////////////////////////////////
-template<class Field> class SparseMatrixBase {
-public:
-  virtual GridBase *Grid(void) =0;
-  // Full checkerboar operations
-  virtual void  M    (const Field &in, Field &out)=0;
-  virtual void  Mdag (const Field &in, Field &out)=0;
-  virtual void  MdagM(const Field &in, Field &out) {
-    Field tmp (in.Grid());
-    M(in,tmp);
-    Mdag(tmp,out);
-  }
-  virtual  void Mdiag    (const Field &in, Field &out)=0;
-  virtual  void Mdir     (const Field &in, Field &out,int dir, int disp)=0;
-  virtual  void MdirAll  (const Field &in, std::vector<Field> &out)=0;
-};
-
-/////////////////////////////////////////////////////////////////////////////////////////////
-// Interface augmented by a red black sparse matrix, such as a Fermion action
-/////////////////////////////////////////////////////////////////////////////////////////////
-template<class Field> class CheckerBoardedSparseMatrixBase : public SparseMatrixBase<Field> {
-public:
-  virtual GridBase *RedBlackGrid(void)=0;
-
-  //////////////////////////////////////////////////////////////////////
-  // Query the even even properties to make algorithmic decisions
-  //////////////////////////////////////////////////////////////////////
-  virtual RealD  Mass(void)        { return 0.0; };
-  virtual int    ConstEE(void)     { return 1; }; // Disable assumptions unless overridden
-  virtual int    isTrivialEE(void) { return 0; }; // by a derived class that knows better
-
-  // half checkerboard operaions
-  virtual  void Meooe    (const Field &in, Field &out)=0;
-  virtual  void Mooee    (const Field &in, Field &out)=0;
-  virtual  void MooeeInv (const Field &in, Field &out)=0;
-
-  virtual  void MeooeDag    (const Field &in, Field &out)=0;
-  virtual  void MooeeDag    (const Field &in, Field &out)=0;
-  virtual  void MooeeInvDag (const Field &in, Field &out)=0;
-
-};
-
-NAMESPACE_END(Grid);
-
-#endif

Grid/algorithms/approx/Chebyshev.h

@@ -1,409 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/approx/Chebyshev.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-Author: paboyle <paboyle@ph.ed.ac.uk>
-Author: Christoph Lehner <clehner@bnl.gov>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_CHEBYSHEV_H
-#define GRID_CHEBYSHEV_H
-
-#include <Grid/algorithms/LinearOperator.h>
-
-NAMESPACE_BEGIN(Grid);
-
-struct ChebyParams : Serializable {
-  GRID_SERIALIZABLE_CLASS_MEMBERS(ChebyParams,
-				  RealD, alpha,  
-				  RealD, beta,   
-				  int, Npoly);
-};
-
-////////////////////////////////////////////////////////////////////////////////////////////
-// Generic Chebyshev approximations
-////////////////////////////////////////////////////////////////////////////////////////////
-template<class Field>
-class Chebyshev : public OperatorFunction<Field> {
-private:
-  using OperatorFunction<Field>::operator();
-
-  std::vector<RealD> Coeffs;
-  int order;
-  RealD hi;
-  RealD lo;
-
-public:
-  void csv(std::ostream &out){
-    RealD diff = hi-lo;
-    RealD delta = diff*1.0e-9;
-    for (RealD x=lo; x<hi; x+=delta) {
-      delta*=1.1;
-      RealD f = approx(x);
-      out<< x<<" "<<f<<std::endl;
-    }
-    return;
-  }
-
-  // Convenience for plotting the approximation
-  void   PlotApprox(std::ostream &out) {
-    out<<"Polynomial approx ["<<lo<<","<<hi<<"]"<<std::endl;
-    for(RealD x=lo;x<hi;x+=(hi-lo)/50.0){
-      out <<x<<"\t"<<approx(x)<<std::endl;
-    }
-  };
-
-  Chebyshev(){};
-  Chebyshev(ChebyParams p){ Init(p.alpha,p.beta,p.Npoly);};
-  Chebyshev(RealD _lo,RealD _hi,int _order, RealD (* func)(RealD) ) {Init(_lo,_hi,_order,func);};
-  Chebyshev(RealD _lo,RealD _hi,int _order) {Init(_lo,_hi,_order);};
-
-  ////////////////////////////////////////////////////////////////////////////////////////////////////
-  // c.f. numerical recipes "chebft"/"chebev". This is sec 5.8 "Chebyshev approximation".
-  ////////////////////////////////////////////////////////////////////////////////////////////////////
-  // CJ: the one we need for Lanczos
-  void Init(RealD _lo,RealD _hi,int _order)
-  {
-    lo=_lo;
-    hi=_hi;
-    order=_order;
-      
-    if(order < 2) exit(-1);
-    Coeffs.resize(order);
-    Coeffs.assign(0.,order);
-    Coeffs[order-1] = 1.;
-  };
-  
-  // PB - more efficient low pass drops high modes above the low as 1/x uses all Chebyshev's.
-  // Similar kick effect below the threshold as Lanczos filter approach
-  void InitLowPass(RealD _lo,RealD _hi,int _order)
-  {
-    lo=_lo;
-    hi=_hi;
-    order=_order;
-      
-    if(order < 2) exit(-1);
-    Coeffs.resize(order);
-    for(int j=0;j<order;j++){
-      RealD k=(order-1.0);
-      RealD s=std::cos( j*M_PI*(k+0.5)/order );
-      Coeffs[j] = s * 2.0/order;
-    }
-    
-  };
-
-  void Init(RealD _lo,RealD _hi,int _order, RealD (* func)(RealD))
-  {
-    lo=_lo;
-    hi=_hi;
-    order=_order;
-      
-    if(order < 2) exit(-1);
-    Coeffs.resize(order);
-    for(int j=0;j<order;j++){
-      RealD s=0;
-      for(int k=0;k<order;k++){
-	RealD y=std::cos(M_PI*(k+0.5)/order);
-	RealD x=0.5*(y*(hi-lo)+(hi+lo));
-	RealD f=func(x);
-	s=s+f*std::cos( j*M_PI*(k+0.5)/order );
-      }
-      Coeffs[j] = s * 2.0/order;
-    }
-  };
-
-    
-  void JacksonSmooth(void){
-    RealD M=order;
-    RealD alpha = M_PI/(M+2);
-    RealD lmax = std::cos(alpha);
-    RealD sumUsq =0;
-    std::vector<RealD> U(M);
-    std::vector<RealD> a(M);
-    std::vector<RealD> g(M);
-    for(int n=0;n<=M;n++){
-      U[n] = std::sin((n+1)*std::acos(lmax))/std::sin(std::acos(lmax));
-      sumUsq += U[n]*U[n];
-    }      
-    sumUsq = std::sqrt(sumUsq);
-
-    for(int i=1;i<=M;i++){
-      a[i] = U[i]/sumUsq;
-    }
-    g[0] = 1.0;
-    for(int m=1;m<=M;m++){
-      g[m] = 0;
-      for(int i=0;i<=M-m;i++){
-	g[m]+= a[i]*a[m+i];
-      }
-    }
-    for(int m=1;m<=M;m++){
-      Coeffs[m]*=g[m];
-    }
-  }
-  RealD approx(RealD x) // Convenience for plotting the approximation
-  {
-    RealD Tn;
-    RealD Tnm;
-    RealD Tnp;
-      
-    RealD y=( x-0.5*(hi+lo))/(0.5*(hi-lo));
-      
-    RealD T0=1;
-    RealD T1=y;
-      
-    RealD sum;
-    sum = 0.5*Coeffs[0]*T0;
-    sum+= Coeffs[1]*T1;
-      
-    Tn =T1;
-    Tnm=T0;
-    for(int i=2;i<order;i++){
-      Tnp=2*y*Tn-Tnm;
-      Tnm=Tn;
-      Tn =Tnp;
-      sum+= Tn*Coeffs[i];
-    }
-    return sum;
-  };
-
-  RealD approxD(RealD x)
-  {
-    RealD Un;
-    RealD Unm;
-    RealD Unp;
-      
-    RealD y=( x-0.5*(hi+lo))/(0.5*(hi-lo));
-      
-    RealD U0=1;
-    RealD U1=2*y;
-      
-    RealD sum;
-    sum = Coeffs[1]*U0;
-    sum+= Coeffs[2]*U1*2.0;
-      
-    Un =U1;
-    Unm=U0;
-    for(int i=2;i<order-1;i++){
-      Unp=2*y*Un-Unm;
-      Unm=Un;
-      Un =Unp;
-      sum+= Un*Coeffs[i+1]*(i+1.0);
-    }
-    return sum/(0.5*(hi-lo));
-  };
-    
-  RealD approxInv(RealD z, RealD x0, int maxiter, RealD resid) {
-    RealD x = x0;
-    RealD eps;
-      
-    int i;
-    for (i=0;i<maxiter;i++) {
-      eps = approx(x) - z;
-      if (fabs(eps / z) < resid)
-	return x;
-      x = x - eps / approxD(x);
-    }
-      
-    return std::numeric_limits<double>::quiet_NaN();
-  }
-    
-  // Implement the required interface
-  void operator() (LinearOperatorBase<Field> &Linop, const Field &in, Field &out) {
-
-    GridBase *grid=in.Grid();
-
-    int vol=grid->gSites();
-    typedef typename Field::vector_type vector_type;
-
-    Field T0(grid); T0 = in;  
-    Field T1(grid); 
-    Field T2(grid);
-    Field y(grid);
-      
-    Field *Tnm = &T0;
-    Field *Tn  = &T1;
-    Field *Tnp = &T2;
-
-    // Tn=T1 = (xscale M + mscale)in
-    RealD xscale = 2.0/(hi-lo);
-    RealD mscale = -(hi+lo)/(hi-lo);
-    Linop.HermOp(T0,y);
-    axpby(T1,xscale,mscale,y,in);
-
-    // sum = .5 c[0] T0 + c[1] T1
-    //    out = ()*T0 + Coeffs[1]*T1;
-    axpby(out,0.5*Coeffs[0],Coeffs[1],T0,T1);
-    for(int n=2;n<order;n++){
-
-      Linop.HermOp(*Tn,y);
-#if 0
-      auto y_v = y.View();
-      auto Tn_v = Tn->View();
-      auto Tnp_v = Tnp->View();
-      auto Tnm_v = Tnm->View();
-      constexpr int Nsimd = vector_type::Nsimd();
-      accelerator_forNB(ss, in.Grid()->oSites(), Nsimd, {
-	  coalescedWrite(y_v[ss],xscale*y_v(ss)+mscale*Tn_v(ss));
-	  coalescedWrite(Tnp_v[ss],2.0*y_v(ss)-Tnm_v(ss));
-      });
-      if ( Coeffs[n] != 0.0) {
-	axpy(out,Coeffs[n],*Tnp,out);
-      }
-#else
-      axpby(y,xscale,mscale,y,(*Tn));
-      axpby(*Tnp,2.0,-1.0,y,(*Tnm));
-      if ( Coeffs[n] != 0.0) {
-	axpy(out,Coeffs[n],*Tnp,out);
-      }
-#endif
-      // Cycle pointers to avoid copies
-      Field *swizzle = Tnm;
-      Tnm    =Tn;
-      Tn     =Tnp;
-      Tnp    =swizzle;
-	  
-    }
-  }
-};
-
-
-template<class Field>
-class ChebyshevLanczos : public Chebyshev<Field> {
-private:
-  std::vector<RealD> Coeffs;
-  int order;
-  RealD alpha;
-  RealD beta;
-  RealD mu;
-
-public:
-  ChebyshevLanczos(RealD _alpha,RealD _beta,RealD _mu,int _order) :
-    alpha(_alpha),
-    beta(_beta),
-    mu(_mu)
-  {
-    order=_order;
-    Coeffs.resize(order);
-    for(int i=0;i<_order;i++){
-      Coeffs[i] = 0.0;
-    }
-    Coeffs[order-1]=1.0;
-  };
-
-  void csv(std::ostream &out){
-    for (RealD x=-1.2*alpha; x<1.2*alpha; x+=(2.0*alpha)/10000) {
-      RealD f = approx(x);
-      out<< x<<" "<<f<<std::endl;
-    }
-    return;
-  }
-
-  RealD approx(RealD xx) // Convenience for plotting the approximation
-  {
-    RealD Tn;
-    RealD Tnm;
-    RealD Tnp;
-    Real aa = alpha * alpha;
-    Real bb = beta  *  beta;
-      
-    RealD x = ( 2.0 * (xx-mu)*(xx-mu) - (aa+bb) ) / (aa-bb);
-
-    RealD y= x;
-      
-    RealD T0=1;
-    RealD T1=y;
-      
-    RealD sum;
-    sum = 0.5*Coeffs[0]*T0;
-    sum+= Coeffs[1]*T1;
-      
-    Tn =T1;
-    Tnm=T0;
-    for(int i=2;i<order;i++){
-      Tnp=2*y*Tn-Tnm;
-      Tnm=Tn;
-      Tn =Tnp;
-      sum+= Tn*Coeffs[i];
-    }
-    return sum;
-  };
-
-  // shift_Multiply in Rudy's code
-  void AminusMuSq(LinearOperatorBase<Field> &Linop, const Field &in, Field &out) 
-  {
-    GridBase *grid=in.Grid();
-    Field tmp(grid);
-
-    RealD aa= alpha*alpha;
-    RealD bb= beta * beta;
-
-    Linop.HermOp(in,out);
-    out = out - mu*in;
-
-    Linop.HermOp(out,tmp);
-    tmp = tmp - mu * out;
-
-    out = (2.0/ (aa-bb) ) * tmp -  ((aa+bb)/(aa-bb))*in;
-  };
-  // Implement the required interface
-  void operator() (LinearOperatorBase<Field> &Linop, const Field &in, Field &out) {
-
-    GridBase *grid=in.Grid();
-
-    int vol=grid->gSites();
-
-    Field T0(grid); T0 = in;  
-    Field T1(grid); 
-    Field T2(grid);
-    Field  y(grid);
-      
-    Field *Tnm = &T0;
-    Field *Tn  = &T1;
-    Field *Tnp = &T2;
-
-    // Tn=T1 = (xscale M )*in
-    AminusMuSq(Linop,T0,T1);
-
-    // sum = .5 c[0] T0 + c[1] T1
-    out = (0.5*Coeffs[0])*T0 + Coeffs[1]*T1;
-    for(int n=2;n<order;n++){
-	
-      AminusMuSq(Linop,*Tn,y);
-
-      *Tnp=2.0*y-(*Tnm);
-
-      out=out+Coeffs[n]* (*Tnp);
-
-      // Cycle pointers to avoid copies
-      Field *swizzle = Tnm;
-      Tnm    =Tn;
-      Tn     =Tnp;
-      Tnp    =swizzle;
-	  
-    }
-  }
-};
-NAMESPACE_END(Grid);
-#endif

Grid/algorithms/approx/Forecast.h

@@ -1,152 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/algorithms/approx/Forecast.h
-
-Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-Author: paboyle <paboyle@ph.ed.ac.uk>
-Author: David Murphy <dmurphy@phys.columbia.edu>
-
-This program is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2 of the License, or
-(at your option) any later version.
-
-This program is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-GNU General Public License for more details.
-
-You should have received a copy of the GNU General Public License along
-with this program; if not, write to the Free Software Foundation, Inc.,
-51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-			   /*  END LEGAL */
-
-#ifndef INCLUDED_FORECAST_H
-#define INCLUDED_FORECAST_H
-
-NAMESPACE_BEGIN(Grid);
-
-// Abstract base class.
-// Takes a matrix (Mat), a source (phi), and a vector of Fields (chi)
-// and returns a forecasted solution to the system D*psi = phi (psi).
-template<class Matrix, class Field>
-class Forecast
-{
-public:
-  virtual Field operator()(Matrix &Mat, const Field& phi, const std::vector<Field>& chi) = 0;
-};
-
-// Implementation of Brower et al.'s chronological inverter (arXiv:hep-lat/9509012),
-// used to forecast solutions across poles of the EOFA heatbath.
-//
-// Modified from CPS (cps_pp/src/util/dirac_op/d_op_base/comsrc/minresext.C)
-template<class Matrix, class Field>
-class ChronoForecast : public Forecast<Matrix,Field>
-{
-public:
-  Field operator()(Matrix &Mat, const Field& phi, const std::vector<Field>& prev_solns)
-  {
-    int degree = prev_solns.size();
-    Field chi(phi); // forecasted solution
-
-    // Trivial cases
-    if(degree == 0){ chi = Zero(); return chi; }
-    else if(degree == 1){ return prev_solns[0]; }
-
-    //    RealD dot;
-    ComplexD xp;
-    Field r(phi); // residual
-    Field Mv(phi);
-    std::vector<Field> v(prev_solns); // orthonormalized previous solutions
-    std::vector<Field> MdagMv(degree,phi);
-
-    // Array to hold the matrix elements
-    std::vector<std::vector<ComplexD>> G(degree, std::vector<ComplexD>(degree));
-
-    // Solution and source vectors
-    std::vector<ComplexD> a(degree);
-    std::vector<ComplexD> b(degree);
-
-    // Orthonormalize the vector basis
-    for(int i=0; i<degree; i++){
-      v[i] *= 1.0/std::sqrt(norm2(v[i]));
-      for(int j=i+1; j<degree; j++){ v[j] -= innerProduct(v[i],v[j]) * v[i]; }
-    }
-
-    // Perform sparse matrix multiplication and construct rhs
-    for(int i=0; i<degree; i++){
-      b[i] = innerProduct(v[i],phi);
-      Mat.M(v[i],Mv);
-      Mat.Mdag(Mv,MdagMv[i]);
-      G[i][i] = innerProduct(v[i],MdagMv[i]);
-    }
-
-    // Construct the matrix
-    for(int j=0; j<degree; j++){
-      for(int k=j+1; k<degree; k++){
-	G[j][k] = innerProduct(v[j],MdagMv[k]);
-	G[k][j] = conjugate(G[j][k]);
-      }}
-
-    // Gauss-Jordan elimination with partial pivoting
-    for(int i=0; i<degree; i++){
-
-      // Perform partial pivoting
-      int k = i;
-      for(int j=i+1; j<degree; j++){ if(abs(G[j][j]) > abs(G[k][k])){ k = j; } }
-      if(k != i){
-	xp = b[k];
-	b[k] = b[i];
-	b[i] = xp;
-	for(int j=0; j<degree; j++){
-	  xp = G[k][j];
-	  G[k][j] = G[i][j];
-	  G[i][j] = xp;
-	}
-      }
-
-      // Convert matrix to upper triangular form
-      for(int j=i+1; j<degree; j++){
-	xp = G[j][i]/G[i][i];
-	b[j] -= xp * b[i];
-	for(int k=0; k<degree; k++){ G[j][k] -= xp*G[i][k]; }
-      }
-    }
-
-    // Use Gaussian elimination to solve equations and calculate initial guess
-    chi = Zero();
-    r = phi;
-    for(int i=degree-1; i>=0; i--){
-      a[i] = 0.0;
-      for(int j=i+1; j<degree; j++){ a[i] += G[i][j] * a[j]; }
-      a[i] = (b[i]-a[i])/G[i][i];
-      chi += a[i]*v[i];
-      r -= a[i]*MdagMv[i];
-    }
-
-    RealD true_r(0.0);
-    ComplexD tmp;
-    for(int i=0; i<degree; i++){
-      tmp = -b[i];
-      for(int j=0; j<degree; j++){ tmp += G[i][j]*a[j]; }
-      tmp = conjugate(tmp)*tmp;
-      true_r += std::sqrt(tmp.real());
-    }
-
-    RealD error = std::sqrt(norm2(r)/norm2(phi));
-    std::cout << GridLogMessage << "ChronoForecast: |res|/|src| = " << error << std::endl;
-
-    return chi;
-  };
-};
-
-NAMESPACE_END(Grid);
-
-#endif

Grid/algorithms/approx/JacobiPolynomial.h

@@ -1,129 +0,0 @@
-#ifndef GRID_JACOBIPOLYNOMIAL_H
-#define GRID_JACOBIPOLYNOMIAL_H
-
-#include <Grid/algorithms/LinearOperator.h>
-
-NAMESPACE_BEGIN(Grid);
-
-template<class Field>
-class JacobiPolynomial : public OperatorFunction<Field> {
- private:
-  using OperatorFunction<Field>::operator();
-
-  int order;
-  RealD hi;
-  RealD lo;
-  RealD alpha;
-  RealD beta;
-
- public:
-  void csv(std::ostream &out){
-    csv(out,lo,hi);
-  }
-  void csv(std::ostream &out,RealD llo,RealD hhi){
-    RealD diff = hhi-llo;
-    RealD delta = diff*1.0e-5;
-    for (RealD x=llo-delta; x<=hhi; x+=delta) {
-      RealD f = approx(x);
-      out<< x<<" "<<f <<std::endl;
-    }
-    return;
-  }
-
-  JacobiPolynomial(){};
-  JacobiPolynomial(RealD _lo,RealD _hi,int _order,RealD _alpha, RealD _beta)
-  {
-      lo=_lo;
-      hi=_hi;
-      alpha=_alpha;
-      beta=_beta;
-      order=_order;
-  };
-
-  RealD approx(RealD x) // Convenience for plotting the approximation                                                       
-  {
-    RealD Tn;
-    RealD Tnm;
-    RealD Tnp;
-
-    RealD y=( x-0.5*(hi+lo))/(0.5*(hi-lo));
-
-    RealD T0=1.0;
-    RealD T1=(alpha-beta)*0.5+(alpha+beta+2.0)*0.5*y;
-
-    Tn =T1;
-    Tnm=T0;
-    for(int n=2;n<=order;n++){
-      RealD cnp = 2.0*n*(n+alpha+beta)*(2.0*n-2.0+alpha+beta);
-      RealD cny = (2.0*n-2.0+alpha+beta)*(2.0*n-1.0+alpha+beta)*(2.0*n+alpha+beta);
-      RealD cn1 = (2.0*n+alpha+beta-1.0)*(alpha*alpha-beta*beta);
-      RealD cnm = - 2.0*(n+alpha-1.0)*(n+beta-1.0)*(2.0*n+alpha+beta);
-      Tnp= ( cny * y *Tn + cn1 * Tn + cnm * Tnm )/ cnp;
-      Tnm=Tn;
-      Tn =Tnp;
-    }
-    return Tnp;
-  };
-
-  // Implement the required interface                                                                                       
-  void operator() (LinearOperatorBase<Field> &Linop, const Field &in, Field &out) {
-    GridBase *grid=in.Grid();
-
-    int vol=grid->gSites();
-
-    Field T0(grid);
-    Field T1(grid);
-    Field T2(grid);
-    Field y(grid);
-
-
-    Field *Tnm = &T0;
-    Field *Tn  = &T1;
-    Field *Tnp = &T2;
-
-    //    RealD T0=1.0;                                                                                                     
-    T0=in;
-
-    //    RealD y=( x-0.5*(hi+lo))/(0.5*(hi-lo));                                                                           
-    //           = x * 2/(hi-lo) - (hi+lo)/(hi-lo)                                                                          
-    Linop.HermOp(T0,y);
-    RealD xscale = 2.0/(hi-lo);
-    RealD mscale = -(hi+lo)/(hi-lo);
-    Linop.HermOp(T0,y);
-    y=y*xscale+in*mscale;
-
-    // RealD T1=(alpha-beta)*0.5+(alpha+beta+2.0)*0.5*y;
-    RealD halfAmB  = (alpha-beta)*0.5;
-    RealD halfApBp2= (alpha+beta+2.0)*0.5;
-    T1 = halfAmB * in + halfApBp2*y;
-
-    for(int n=2;n<=order;n++){
-
-      Linop.HermOp(*Tn,y);
-      y=xscale*y+mscale*(*Tn);
-
-      RealD cnp = 2.0*n*(n+alpha+beta)*(2.0*n-2.0+alpha+beta);
-      RealD cny = (2.0*n-2.0+alpha+beta)*(2.0*n-1.0+alpha+beta)*(2.0*n+alpha+beta);
-      RealD cn1 = (2.0*n+alpha+beta-1.0)*(alpha*alpha-beta*beta);
-      RealD cnm = - 2.0*(n+alpha-1.0)*(n+beta-1.0)*(2.0*n+alpha+beta);
-
-      //      Tnp= ( cny * y *Tn + cn1 * Tn + cnm * Tnm )/ cnp;                                                             
-      cny=cny/cnp;
-      cn1=cn1/cnp;
-      cn1=cn1/cnp;
-      cnm=cnm/cnp;
-
-      *Tnp=cny*y + cn1 *(*Tn) + cnm * (*Tnm);
-
-      // Cycle pointers to avoid copies                                                                                     
-      Field *swizzle = Tnm;
-      Tnm    =Tn;
-      Tn     =Tnp;
-      Tnp    =swizzle;
-    }
-    out=*Tnp;
-
-  }
-};
-NAMESPACE_END(Grid);
-#endif

Grid/algorithms/approx/MultiShiftFunction.cc

@@ -1,57 +0,0 @@
-    /*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/approx/MultiShiftFunction.cc
-
-    Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-    *************************************************************************************/
-    /*  END LEGAL */
-#include <Grid/GridCore.h>
-
-NAMESPACE_BEGIN(Grid);
-
-double MultiShiftFunction::approx(double x)
-{
-  double a = norm;
-  for(int n=0;n<poles.size();n++){
-    a = a + residues[n]/(x+poles[n]);
-  }
-  return a;
-}
-void MultiShiftFunction::gnuplot(std::ostream &out)
-{
-  out<<"f(x) = "<<norm<<"";
-  for(int n=0;n<poles.size();n++){
-    out<<"+("<<residues[n]<<"/(x+"<<poles[n]<<"))";
-  }
-  out<<";"<<std::endl;
-}
-void MultiShiftFunction::csv(std::ostream &out)
-{
-  for (double x=lo; x<hi; x*=1.05) {
-    double f = approx(x);
-    double r = sqrt(x);
-    out<< x<<","<<r<<","<<f<<","<<r-f<<std::endl;
-  }
-  return;
-}
-NAMESPACE_END(Grid);

Grid/algorithms/approx/MultiShiftFunction.h

@@ -1,67 +0,0 @@
-    /*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/approx/MultiShiftFunction.h
-
-    Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-    *************************************************************************************/
-    /*  END LEGAL */
-#ifndef MULTI_SHIFT_FUNCTION
-#define MULTI_SHIFT_FUNCTION
-
-NAMESPACE_BEGIN(Grid);
-
-class MultiShiftFunction {
-public:
-  int order;
-  std::vector<RealD> poles;
-  std::vector<RealD> residues;
-  std::vector<RealD> tolerances;
-  RealD norm;
-  RealD lo,hi;
-
-  MultiShiftFunction(int n,RealD _lo,RealD _hi): poles(n), residues(n), lo(_lo), hi(_hi) {;};
-  RealD approx(RealD x);
-  void csv(std::ostream &out);
-  void gnuplot(std::ostream &out);
-
-  void Init(AlgRemez & remez,double tol,bool inverse) 
-  {
-    order=remez.getDegree();
-    tolerances.resize(remez.getDegree(),tol);
-    poles.resize(remez.getDegree());
-    residues.resize(remez.getDegree());
-    remez.getBounds(lo,hi);
-    if ( inverse ) remez.getIPFE (&residues[0],&poles[0],&norm);
-    else           remez.getPFE (&residues[0],&poles[0],&norm);
-  }
-  // Allow deferred initialisation
-  MultiShiftFunction(void){};
-  MultiShiftFunction(AlgRemez & remez,double tol,bool inverse)
-  {
-    Init(remez,tol,inverse);
-  }
-
-};
-NAMESPACE_END(Grid);
-#endif

Grid/algorithms/approx/README

@@ -1,80 +0,0 @@
------------------------------------------------------------------------------------
-
-PAB. Took Mike Clark's AlgRemez from GitHub and (modified a little) include.
-This is open source and license and readme and comments are preserved consistent
-with the license. Mike, thankyou!
------------------------------------------------------------------------------------
------------------------------------------------------------------------------------
-AlgRemez
-
-The archive downloadable here contains an implementation of the Remez
-algorithm which calculates optimal rational (and polynomial)
-approximations to the nth root over a given spectral range.  The Remez
-algorithm, although in principle is extremely straightforward to
-program, is quite difficult to get completely correct, e.g., the Maple
-implementation of the algorithm does not always converge to the
-correct answer.
-
-To use this algorithm you need to install GMP, the GNU Multiple
-Precision Library, and when configuring the install, you must include
-the --enable-mpfr option (see the GMP manual for more details).  You
-also have to edit the Makefile for AlgRemez appropriately for your
-system, namely to point corrrectly to the location of the GMP library.
-
-The simple main program included with this archive invokes the
-AlgRemez class to calculate an approximation given by command line
-arguments.  It is invoked by the following
-
-./test y z n d lambda_low lambda_high precision,
-
-where the function to be approximated is f(x) = x^(y/z), with degree
-(n,d) over the spectral range [lambda_low, lambda_high], using
-precision digits of precision in the arithmetic.  So an example would
-be
-
-./test 1 2 5 5 0.0004 64 40
-
-which corresponds to constructing a rational approximation to the
-square root function, with degree (5,5) over the range [0.0004,64]
-with 40 digits of precision used for the arithmetic.  The parameters y
-and z must be positive, the approximation to f(x) = x^(-y/z) is simply
-the inverse of the approximation to f(x) = x^(y/z).  After the
-approximation has been constructed, the roots and poles of the
-rational function are found, and then the partial fraction expansion
-of both the rational function and it's inverse are found, the results
-of which are output to a file called "approx.dat".  In addition, the
-error function of the approximation is output to "error.dat", where it
-can be checked that the resultant approximation satisfies Chebychev's
-criterion, namely all error maxima are equal in magnitude, and
-adjacent maxima are oppostie in sign.  There are some caveats here
-however, the optimal polynomial approximation has complex roots, and
-the root finding implemented here cannot (yet) handle complex roots.
-In addition, the partial fraction expansion of rational approximations
-is only found for the case n = d, i.e., the degree of numerator
-polynomial equals that of the denominator polynomial.  The convention
-for the partial fraction expansion is that polar shifts are always
-written added to x, not subtracted.
-
-To do list
-
-1.  Include an exponential dampening factor in the function to be
-approximated.  This may sound trivial to implement, but for some
-parameters, the algorithm seems to breakdown.  Also, the roots in the
-rational approximation sometimes become complex, which currently
-breaks the stupidly simple root finding code.
-
-2. Make the algorithm faster - it's too slow when running on qcdoc.
-
-3. Add complex root finding.
-
-4. Add more options for error minimisation - currently the code
-minimises the relative error, should add options for absolute error,
-and other norms.
-
-There will be a forthcoming publication concerning the results
-generated by this software, but in the meantime, if you use this
-software, please cite it as
-"M.A. Clark and A.D. Kennedy, https://github.com/mikeaclark/AlgRemez, 2005".
-
-If you have any problems using the software, then please email scientist.mike@gmail.com.
-

Grid/algorithms/approx/Remez.cc

@@ -1,759 +0,0 @@
-/*
-
-  Mike Clark - 25th May 2005
-
-  alg_remez.C
-
-  AlgRemez is an implementation of the Remez algorithm, which in this
-  case is used for generating the optimal nth root rational
-  approximation.
-
-  Note this class requires the gnu multiprecision (GNU MP) library.
-
-*/
-
-#include<math.h>
-#include<stdio.h>
-#include<stdlib.h>
-#include<string>
-#include<iostream>
-#include<iomanip>
-#include<cassert>
-
-#include<Grid/algorithms/approx/Remez.h>
-
-// Constructor
-AlgRemez::AlgRemez(double lower, double upper, long precision) 
-{
-  prec = precision;
-  bigfloat::setDefaultPrecision(prec);
-
-  apstrt = lower;
-  apend = upper;
-  apwidt = apend - apstrt;
-
-  std::cout<<"Approximation bounds are ["<<apstrt<<","<<apend<<"]\n";
-  std::cout<<"Precision of arithmetic is "<<precision<<std::endl;
-
-  alloc = 0;
-  n = 0;
-  d = 0;
-
-  foundRoots = 0;
-
-  // Only require the approximation spread to be less than 1 ulp
-  tolerance = 1e-15;
-}
-
-// Destructor
-AlgRemez::~AlgRemez()
-{
-  if (alloc) {
-    delete [] param;
-    delete [] roots;
-    delete [] poles;
-    delete [] xx;
-    delete [] mm;
-    delete [] a_power;
-    delete [] a;
-  }
-}
-
-// Free memory and reallocate as necessary
-void AlgRemez::allocate(int num_degree, int den_degree)
-{
-  // Arrays have previously been allocated, deallocate first, then allocate
-  if (alloc) {
-    delete [] param;
-    delete [] roots;
-    delete [] poles;
-    delete [] xx;
-    delete [] mm;
-  }
-
-  // Note use of new and delete in memory allocation - cannot run on qcdsp
-  param = new bigfloat[num_degree+den_degree+1];
-  roots = new bigfloat[num_degree];
-  poles = new bigfloat[den_degree];
-  xx = new bigfloat[num_degree+den_degree+3];
-  mm = new bigfloat[num_degree+den_degree+2];
-
-  if (!alloc) {
-    // The coefficients of the sum in the exponential
-    a = new bigfloat[SUM_MAX];
-    a_power = new int[SUM_MAX];
-  }
-
-  alloc = 1;
-}
-
-// Reset the bounds of the approximation
-void AlgRemez::setBounds(double lower, double upper)
-{
-  apstrt = lower;
-  apend = upper;
-  apwidt = apend - apstrt;
-}
-
-// Generate the rational approximation x^(pnum/pden)
-double AlgRemez::generateApprox(int degree, unsigned long pnum, 
-				unsigned long pden)
-{
-  return generateApprox(degree, degree, pnum, pden);
-}
-
-double AlgRemez::generateApprox(int num_degree, int den_degree, 
-				unsigned long pnum, unsigned long pden)
-{
-  double *a_param = 0;
-  int *a_pow = 0;
-  return generateApprox(num_degree, den_degree, pnum, pden, 0, a_param, a_pow);
-}
-
-// Generate the rational approximation x^(pnum/pden)
-double AlgRemez::generateApprox(int num_degree, int den_degree, 
-				unsigned long pnum, unsigned long pden,
-				int a_len, double *a_param, int *a_pow)
-{
-  std::cout<<"Degree of the approximation is ("<<num_degree<<","<<den_degree<<")\n";
-  std::cout<<"Approximating the function x^("<<pnum<<"/"<<pden<<")\n";
-
-  // Reallocate arrays, since degree has changed
-  if (num_degree != n || den_degree != d) allocate(num_degree,den_degree);
-
-  assert(a_len<=SUM_MAX);
-
-  step = new bigfloat[num_degree+den_degree+2];
-
-  a_length = a_len;
-  for (int j=0; j<a_len; j++) {
-    a[j]= a_param[j];
-    a_power[j] = a_pow[j];
-  }
-
-  power_num = pnum;
-  power_den = pden;
-  spread = 1.0e37;
-  iter = 0;
-
-  n = num_degree;
-  d = den_degree;
-  neq = n + d + 1;
-
-  initialGuess();
-  stpini(step);
-
-  while (spread > tolerance) { //iterate until convergance
-
-    if (iter++%100==0) 
-      std::cout<<"Iteration " <<iter-1<<" spread "<<(double)spread<<" delta "<<(double)delta<<std::endl; 
-
-    equations();
-    if (delta < tolerance) {
-      std::cout<<"Delta too small, try increasing precision\n";
-      assert(0);
-    };    
-    assert( delta>= tolerance);
-
-    search(step);
-  }
-
-  int sign;
-  double error = (double)getErr(mm[0],&sign);
-  std::cout<<"Converged at "<<iter<<" iterations; error = "<<error<<std::endl;
-
-  // Once the approximation has been generated, calculate the roots
-  if(!root()) {
-    std::cout<<"Root finding failed\n";
-  } else {
-    foundRoots = 1;
-  }
-  
-  delete [] step;
-
-  // Return the maximum error in the approximation
-  return error;
-}
-
-// Return the partial fraction expansion of the approximation x^(pnum/pden)
-int AlgRemez::getPFE(double *Res, double *Pole, double *Norm) {
-
-  if (n!=d) {
-    std::cout<<"Cannot handle case: Numerator degree neq Denominator degree\n";
-    return 0;
-  }
-
-  if (!alloc) {
-    std::cout<<"Approximation not yet generated\n";
-    return 0;
-  }
-
-  if (!foundRoots) {
-    std::cout<<"Roots not found, so PFE cannot be taken\n";
-    return 0;
-  }
-
-  bigfloat *r = new bigfloat[n];
-  bigfloat *p = new bigfloat[d];
-  
-  for (int i=0; i<n; i++) r[i] = roots[i];
-  for (int i=0; i<d; i++) p[i] = poles[i];
-  
-  // Perform a partial fraction expansion
-  pfe(r, p, norm);
-
-  // Convert to double and return
-  *Norm = (double)norm;
-  for (int i=0; i<n; i++) Res[i] = (double)r[i];
-  for (int i=0; i<d; i++) Pole[i] = (double)p[i];
-
-  delete [] r;
-  delete [] p;
-
-  // Where the smallest shift is located
-  return 0;
-}
-
-// Return the partial fraction expansion of the approximation x^(-pnum/pden)
-int AlgRemez::getIPFE(double *Res, double *Pole, double *Norm) {
-
-  if (n!=d) {
-    std::cout<<"Cannot handle case: Numerator degree neq Denominator degree\n";
-    return 0;
-  }
-
-  if (!alloc) {
-    std::cout<<"Approximation not yet generated\n";
-    return 0;
-  }
-
-  if (!foundRoots) {
-    std::cout<<"Roots not found, so PFE cannot be taken\n";
-    return 0;
-  }
-
-  bigfloat *r = new bigfloat[d];
-  bigfloat *p = new bigfloat[n];
-  
-  // Want the inverse function
-  for (int i=0; i<n; i++) {
-    r[i] = poles[i];
-    p[i] = roots[i];
-  }
-
-  // Perform a partial fraction expansion
-  pfe(r, p, (bigfloat)1l/norm);
-
-  // Convert to double and return
-  *Norm = (double)((bigfloat)1l/(norm));
-  for (int i=0; i<n; i++) {
-    Res[i] = (double)r[i];
-    Pole[i] = (double)p[i];
-  }
-
-  delete [] r;
-  delete [] p;
-
-  // Where the smallest shift is located
-  return 0;
-}
-
-// Initial values of maximal and minimal errors
-void AlgRemez::initialGuess() {
-
-  // Supply initial guesses for solution points
-  long ncheb = neq;			// Degree of Chebyshev error estimate
-  bigfloat a, r;
-
-  // Find ncheb+1 extrema of Chebyshev polynomial
-
-  a = ncheb;
-  mm[0] = apstrt;
-  for (long i = 1; i < ncheb; i++) {
-    r = 0.5 * (1 - cos((M_PI * i)/(double) a));
-    //r *= sqrt_bf(r);
-    r = (exp((double)r)-1.0)/(exp(1.0)-1.0);
-    mm[i] = apstrt + r * apwidt;
-  }
-  mm[ncheb] = apend;
-
-  a = 2.0 * ncheb;
-  for (long i = 0; i <= ncheb; i++) {
-    r = 0.5 * (1 - cos(M_PI * (2*i+1)/(double) a));
-    //r *= sqrt_bf(r); // Squeeze to low end of interval
-    r = (exp((double)r)-1.0)/(exp(1.0)-1.0);
-    xx[i] = apstrt + r * apwidt;
-  }
-}
-
-// Initialise step sizes
-void AlgRemez::stpini(bigfloat *step) {
-  xx[neq+1] = apend;
-  delta = 0.25;
-  step[0] = xx[0] - apstrt;
-  for (int i = 1; i < neq; i++) step[i] = xx[i] - xx[i-1];
-  step[neq] = step[neq-1];
-}
-
-// Search for error maxima and minima
-void AlgRemez::search(bigfloat *step) {
-  bigfloat a, q, xm, ym, xn, yn, xx0, xx1;
-  int i, meq, emsign, ensign, steps;
-
-  meq = neq + 1;
-  bigfloat *yy = new bigfloat[meq];
-
-  bigfloat eclose = 1.0e30;
-  bigfloat farther = 0l;
-
-  xx0 = apstrt;
-
-  for (i = 0; i < meq; i++) {
-    steps = 0;
-    xx1 = xx[i]; // Next zero
-    if (i == meq-1) xx1 = apend;
-    xm = mm[i];
-    ym = getErr(xm,&emsign);
-    q = step[i];
-    xn = xm + q;
-    if (xn < xx0 || xn >= xx1) {	// Cannot skip over adjacent boundaries
-      q = -q;
-      xn = xm;
-      yn = ym;
-      ensign = emsign;
-    } else {
-      yn = getErr(xn,&ensign);
-      if (yn < ym) {
-	q = -q;
-	xn = xm;
-	yn = ym;
-	ensign = emsign;
-      }
-    }
-  
-    while(yn >= ym) {		// March until error becomes smaller.
-      if (++steps > 10) break;
-      ym = yn;
-      xm = xn;
-      emsign = ensign;
-      a = xm + q;
-      if (a == xm || a <= xx0 || a >= xx1) break;// Must not skip over the zeros either side.
-      xn = a;
-      yn = getErr(xn,&ensign);
-    }
-
-    mm[i] = xm;			// Position of maximum
-    yy[i] = ym;			// Value of maximum
-
-    if (eclose > ym) eclose = ym;
-    if (farther < ym) farther = ym;
-
-    xx0 = xx1; // Walk to next zero.
-  } // end of search loop
-
-  q = (farther - eclose);	// Decrease step size if error spread increased
-  if (eclose != 0.0) q /= eclose; // Relative error spread
-  if (q >= spread) delta *= 0.5; // Spread is increasing; decrease step size
-  spread = q;
-
-  for (i = 0; i < neq; i++) {
-    q = yy[i+1];
-    if (q != 0.0) q = yy[i] / q  - (bigfloat)1l;
-    else q = 0.0625;
-    if (q > (bigfloat)0.25) q = 0.25;
-    q *= mm[i+1] - mm[i];
-    step[i] = q * delta;
-  }
-  step[neq] = step[neq-1];
-  
-  for (i = 0; i < neq; i++) {	// Insert new locations for the zeros.
-    xm = xx[i] - step[i];
-    if (xm <= apstrt) continue;
-    if (xm >= apend) continue;
-    if (xm <= mm[i]) xm = (bigfloat)0.5 * (mm[i] + xx[i]);
-    if (xm >= mm[i+1]) xm = (bigfloat)0.5 * (mm[i+1] + xx[i]);
-    xx[i] = xm;
-  }
-
-  delete [] yy;
-}
-
-// Solve the equations
-void AlgRemez::equations(void) {
-  bigfloat x, y, z;
-  int i, j, ip;
-  bigfloat *aa;
-
-  bigfloat *AA = new bigfloat[(neq)*(neq)];
-  bigfloat *BB = new bigfloat[neq];
-  
-  for (i = 0; i < neq; i++) {	// set up the equations for solution by simq()
-    ip = neq * i;		// offset to 1st element of this row of matrix
-    x = xx[i];			// the guess for this row
-    y = func(x);		// right-hand-side vector
-
-    z = (bigfloat)1l;
-    aa = AA+ip;
-    for (j = 0; j <= n; j++) {
-      *aa++ = z;
-      z *= x;
-    }
-
-    z = (bigfloat)1l;
-    for (j = 0; j < d; j++) {
-      *aa++ = -y * z;
-      z *= x;
-    }
-    BB[i] = y * z;		// Right hand side vector
-  }
-
-  // Solve the simultaneous linear equations.
-  if (simq(AA, BB, param, neq)) {
-    std::cout<<"simq failed\n";
-    exit(0);
-  }
-
-  delete [] AA;
-  delete [] BB;
-
-}
-
-// Evaluate the rational form P(x)/Q(x) using coefficients
-// from the solution vector param
-bigfloat AlgRemez::approx(const bigfloat x) {
-  bigfloat yn, yd;
-  int i;
-
-  // Work backwards toward the constant term.
-  yn = param[n];		// Highest order numerator coefficient
-  for (i = n-1; i >= 0; i--) yn = x * yn  +  param[i]; 
-  yd = x + param[n+d];	// Highest degree coefficient = 1.0
-  for (i = n+d-1; i > n; i--) yd = x * yd  +  param[i];
-
-  return(yn/yd);
-}
-
-// Compute size and sign of the approximation error at x
-bigfloat AlgRemez::getErr(bigfloat x, int *sign) {
-  bigfloat e, f;
-
-  f = func(x);
-  e = approx(x) - f;
-  if (f != 0) e /= f;
-  if (e < (bigfloat)0.0) {
-    *sign = -1;
-    e = -e;
-  }
-  else *sign = 1;
-  
-  return(e);
-}
-
-// Calculate function required for the approximation.
-bigfloat AlgRemez::func(const bigfloat x) {
-
-  bigfloat z = (bigfloat)power_num / (bigfloat)power_den;
-  bigfloat y;
-
-  if (x == (bigfloat)1.0) y = (bigfloat)1.0;
-  else y = pow_bf(x,z);
-
-  if (a_length > 0) {
-    bigfloat sum = 0l;
-    for (int j=0; j<a_length; j++) sum += a[j]*pow_bf(x,a_power[j]);
-    return y * exp_bf(sum);
-  } else {
-    return y;
-  }
-
-}
-
-// Solve the system AX=B
-int AlgRemez::simq(bigfloat A[], bigfloat B[], bigfloat X[], int n) {
-
-  int i, j, ij, ip, ipj, ipk, ipn;
-  int idxpiv, iback;
-  int k, kp, kp1, kpk, kpn;
-  int nip, nkp, nm1;
-  bigfloat em, q, rownrm, big, size, pivot, sum;
-  bigfloat *aa;
-
-  // simq() work vector
-  int *IPS = new int[(neq) * sizeof(int)];
-
-  nm1 = n - 1;
-  // Initialize IPS and X
-  
-  ij = 0;
-  for (i = 0; i < n; i++) {
-    IPS[i] = i;
-    rownrm = 0.0;
-    for(j = 0; j < n; j++) {
-      q = abs_bf(A[ij]);
-      if(rownrm < q) rownrm = q;
-      ++ij;
-    }
-    if (rownrm == (bigfloat)0l) {
-      std::cout<<"simq rownrm=0\n";
-      delete [] IPS;
-      return(1);
-    }
-    X[i] = (bigfloat)1.0 / rownrm;
-  }
-  
-  for (k = 0; k < nm1; k++) {
-    big = 0.0;
-    idxpiv = 0;
-    
-    for (i = k; i < n; i++) {
-      ip = IPS[i];
-      ipk = n*ip + k;
-      size = abs_bf(A[ipk]) * X[ip];
-      if (size > big) {
-	big = size;
-	idxpiv = i;
-      }
-    }
-    
-    if (big == (bigfloat)0l) {
-      std::cout<<"simq big=0\n";
-      delete [] IPS;
-      return(2);
-    }
-    if (idxpiv != k) {
-      j = IPS[k];
-      IPS[k] = IPS[idxpiv];
-      IPS[idxpiv] = j;
-    }
-    kp = IPS[k];
-    kpk = n*kp + k;
-    pivot = A[kpk];
-    kp1 = k+1;
-    for (i = kp1; i < n; i++) {
-      ip = IPS[i];
-      ipk = n*ip + k;
-      em = -A[ipk] / pivot;
-      A[ipk] = -em;
-      nip = n*ip;
-      nkp = n*kp;
-      aa = A+nkp+kp1;
-      for (j = kp1; j < n; j++) {
-	ipj = nip + j;
-	A[ipj] = A[ipj] + em * *aa++;
-      }
-    }
-  }
-  kpn = n * IPS[n-1] + n - 1;	// last element of IPS[n] th row
-  if (A[kpn] == (bigfloat)0l) {
-    std::cout<<"simq A[kpn]=0\n";
-    delete [] IPS;
-    return(3);
-  }
-
-  
-  ip = IPS[0];
-  X[0] = B[ip];
-  for (i = 1; i < n; i++) {
-    ip = IPS[i];
-    ipj = n * ip;
-    sum = 0.0;
-    for (j = 0; j < i; j++) {
-      sum += A[ipj] * X[j];
-      ++ipj;
-    }
-    X[i] = B[ip] - sum;
-  }
-  
-  ipn = n * IPS[n-1] + n - 1;
-  X[n-1] = X[n-1] / A[ipn];
-  
-  for (iback = 1; iback < n; iback++) {
-    //i goes (n-1),...,1
-    i = nm1 - iback;
-    ip = IPS[i];
-    nip = n*ip;
-    sum = 0.0;
-    aa = A+nip+i+1;
-    for (j= i + 1; j < n; j++) 
-      sum += *aa++ * X[j];
-    X[i] = (X[i] - sum) / A[nip+i];
-  }
-  
-  delete [] IPS;
-  return(0);
-}
-
-// Calculate the roots of the approximation
-int AlgRemez::root() {
-
-  long i,j;
-  bigfloat x,dx=0.05;
-  bigfloat upper=1, lower=-100000;
-  bigfloat tol = 1e-20;
-
-  bigfloat *poly = new bigfloat[neq+1];
-
-  // First find the numerator roots
-  for (i=0; i<=n; i++) poly[i] = param[i];
-
-  for (i=n-1; i>=0; i--) {
-    roots[i] = rtnewt(poly,i+1,lower,upper,tol);
-    if (roots[i] == 0.0) {
-      std::cout<<"Failure to converge on root "<<i+1<<"/"<<n<<"\n";
-      return 0;
-    }
-    poly[0] = -poly[0]/roots[i];
-    for (j=1; j<=i; j++) poly[j] = (poly[j-1] - poly[j])/roots[i];
-  }
-  
- // Now find the denominator roots
-  poly[d] = 1l;
-  for (i=0; i<d; i++) poly[i] = param[n+1+i];
-
-  for (i=d-1; i>=0; i--) {
-    poles[i]=rtnewt(poly,i+1,lower,upper,tol);
-    if (poles[i] == 0.0) {
-      std::cout<<"Failure to converge on pole "<<i+1<<"/"<<d<<"\n";
-      return 0;
-    }
-    poly[0] = -poly[0]/poles[i];
-    for (j=1; j<=i; j++) poly[j] = (poly[j-1] - poly[j])/poles[i];
-  }
-
-  norm = param[n];
-
-  delete [] poly;
-
-  return 1;
-}
-
-// Evaluate the polynomial
-bigfloat AlgRemez::polyEval(bigfloat x, bigfloat *poly, long size) {
-  bigfloat f = poly[size];
-  for (int i=size-1; i>=0; i--) f = f*x + poly[i];
-  return f;
-}
-
-// Evaluate the differential of the polynomial
-bigfloat AlgRemez::polyDiff(bigfloat x, bigfloat *poly, long size) {
-  bigfloat df = (bigfloat)size*poly[size];
-  for (int i=size-1; i>0; i--) df = df*x + (bigfloat)i*poly[i];
-  return df;
-}
-
-
-// Newton's method to calculate roots
-bigfloat AlgRemez::rtnewt(bigfloat *poly, long i, bigfloat x1, 
-			  bigfloat x2, bigfloat xacc) {
-  int j;
-  bigfloat df, dx, f, rtn;
-
-  rtn=(bigfloat)0.5*(x1+x2);
-  for (j=1; j<=JMAX;j++) {
-    f = polyEval(rtn, poly, i);
-    df = polyDiff(rtn, poly, i);
-    dx = f/df;
-    rtn -= dx;
-    if (abs_bf(dx) < xacc) return rtn;
-  }
-  std::cout<<"Maximum number of iterations exceeded in rtnewt\n";
-  return 0.0;
-}
-
-// Evaluate the partial fraction expansion of the rational function
-// with res roots and poles poles.  Result is overwritten on input
-// arrays.
-void AlgRemez::pfe(bigfloat *res, bigfloat *poles, bigfloat norm) {
-  int i,j,small;
-  bigfloat temp;
-  bigfloat *numerator = new bigfloat[n];
-  bigfloat *denominator = new bigfloat[d];
-
-  // Construct the polynomials explicitly 
-  for (i=1; i<n; i++) {
-    numerator[i] = 0l;
-    denominator[i] = 0l;
-  }
-  numerator[0]=1l;
-  denominator[0]=1l;
-
-  for (j=0; j<n; j++) {
-    for (i=n-1; i>=0; i--) {
-      numerator[i] *= -res[j];
-      denominator[i] *= -poles[j];
-      if (i>0) {
-	numerator[i] += numerator[i-1];
-	denominator[i] += denominator[i-1];
-      }
-    }
-  }
-
-  // Convert to proper fraction form.
-  // Fraction is now in the form 1 + n/d, where O(n)+1=O(d)
-  for (i=0; i<n; i++) numerator[i] -= denominator[i];
-
-  // Find the residues of the partial fraction expansion and absorb the
-  // coefficients.
-  for (i=0; i<n; i++) {
-    res[i] = 0l;
-    for (j=n-1; j>=0; j--) {
-      res[i] = poles[i]*res[i]+numerator[j];
-    }
-    for (j=n-1; j>=0; j--) {
-      if (i!=j) res[i] /= poles[i]-poles[j];
-    }
-    res[i] *= norm;
-  }  
-
-  // res now holds the residues
-  j = 0;
-  for (i=0; i<n; i++) poles[i] = -poles[i];
-
-  // Move the ordering of the poles from smallest to largest
-  for (j=0; j<n; j++) {
-    small = j;
-    for (i=j+1; i<n; i++) {
-      if (poles[i] < poles[small]) small = i;
-    }
-    if (small != j) {
-      temp = poles[small];
-      poles[small] = poles[j];
-      poles[j] = temp;
-      temp = res[small];
-      res[small] = res[j];
-      res[j] = temp;
-    }
-  }
-
-  delete [] numerator;
-  delete [] denominator;
-}
-
-double AlgRemez::evaluateApprox(double x) {
-  return (double)approx((bigfloat)x);
-}
-
-double AlgRemez::evaluateInverseApprox(double x) {
-  return 1.0/(double)approx((bigfloat)x);
-}
-
-double AlgRemez::evaluateFunc(double x) {
-  return (double)func((bigfloat)x);
-}
-
-double AlgRemez::evaluateInverseFunc(double x) {
-  return 1.0/(double)func((bigfloat)x);
-}
-
-void AlgRemez::csv(std::ostream & os)
-{
-  double lambda_low = apstrt;
-  double lambda_high= apend;
-  for (double x=lambda_low; x<lambda_high; x*=1.05) {
-    double f = evaluateFunc(x);
-    double r = evaluateApprox(x);
-    os<< x<<","<<r<<","<<f<<","<<r-f<<std::endl;
-  }
-  return;
-}
-

Grid/algorithms/approx/Remez.h

@@ -1,184 +0,0 @@
-/*
-
-  Mike Clark - 25th May 2005
-
-  alg_remez.h
-
-  AlgRemez is an implementation of the Remez algorithm, which in this
-  case is used for generating the optimal nth root rational
-  approximation.
-
-  Note this class requires the gnu multiprecision (GNU MP) library.
-
-*/
-
-#ifndef INCLUDED_ALG_REMEZ_H
-#define INCLUDED_ALG_REMEZ_H
-
-#include <stddef.h>
-#include <Grid/GridStd.h>
-
-#ifdef HAVE_LIBGMP
-#include "bigfloat.h"
-#else
-#include "bigfloat_double.h"
-#endif
-
-#define JMAX 10000 //Maximum number of iterations of Newton's approximation
-#define SUM_MAX 10 // Maximum number of terms in exponential
-
-/*
- *Usage examples
-  AlgRemez remez(lambda_low,lambda_high,precision);
-  error = remez.generateApprox(n,d,y,z);
-  remez.getPFE(res,pole,&norm);
-  remez.getIPFE(res,pole,&norm);
-  remez.csv(ostream &os);
- */
-
-class AlgRemez
-{
- private:
-  char *cname;
-
-  // The approximation parameters
-  bigfloat *param, *roots, *poles;
-  bigfloat norm;
-
-  // The numerator and denominator degree (n=d)
-  int n, d;
-  
-  // The bounds of the approximation
-  bigfloat apstrt, apwidt, apend;
-
-  // the numerator and denominator of the power we are approximating
-  unsigned long power_num; 
-  unsigned long power_den;
-
-  // Flag to determine whether the arrays have been allocated
-  int alloc;
-
-  // Flag to determine whether the roots have been found
-  int foundRoots;
-
-  // Variables used to calculate the approximation
-  int nd1, iter;
-  bigfloat *xx, *mm, *step;
-  bigfloat delta, spread, tolerance;
-
-  // The exponential summation coefficients
-  bigfloat *a;
-  int *a_power;
-  int a_length;
-
-  // The number of equations we must solve at each iteration (n+d+1)
-  int neq;
-
-  // The precision of the GNU MP library
-  long prec;
-
-  // Initial values of maximal and minmal errors
-  void initialGuess();
-
-  // Solve the equations
-  void equations();
-
-  // Search for error maxima and minima
-  void search(bigfloat *step); 
-
-  // Initialise step sizes
-  void stpini(bigfloat *step);
-
-  // Calculate the roots of the approximation
-  int root();
-
-  // Evaluate the polynomial
-  bigfloat polyEval(bigfloat x, bigfloat *poly, long size);
-  //complex_bf polyEval(complex_bf x, complex_bf *poly, long size);
-
-  // Evaluate the differential of the polynomial
-  bigfloat polyDiff(bigfloat x, bigfloat *poly, long size);
-  //complex_bf polyDiff(complex_bf x, complex_bf *poly, long size);
-
-  // Newton's method to calculate roots
-  bigfloat rtnewt(bigfloat *poly, long i, bigfloat x1, bigfloat x2, bigfloat xacc);
-  //complex_bf rtnewt(complex_bf *poly, long i, bigfloat x1, bigfloat x2, bigfloat xacc);
-
-  // Evaluate the partial fraction expansion of the rational function
-  // with res roots and poles poles.  Result is overwritten on input
-  // arrays.
-  void pfe(bigfloat *res, bigfloat* poles, bigfloat norm);
-
-  // Calculate function required for the approximation
-  bigfloat func(bigfloat x);
-
-  // Compute size and sign of the approximation error at x
-  bigfloat getErr(bigfloat x, int *sign);
-
-  // Solve the system AX=B
-  int simq(bigfloat *A, bigfloat *B, bigfloat *X, int n);
-
-  // Free memory and reallocate as necessary
-  void allocate(int num_degree, int den_degree);
-
-  // Evaluate the rational form P(x)/Q(x) using coefficients from the
-  // solution vector param
-  bigfloat approx(bigfloat x);
-
- public:
-  
-  // Constructor
-  AlgRemez(double lower, double upper, long prec);
-
-  // Destructor
-  virtual ~AlgRemez();
-
-  int getDegree(void){ 
-    assert(n==d);
-    return n;
-  }
-  // Reset the bounds of the approximation
-  void setBounds(double lower, double upper);
-  // Reset the bounds of the approximation
-  void getBounds(double &lower, double &upper) { 
-    lower=(double)apstrt;
-    upper=(double)apend;
-  }
-
-  // Generate the rational approximation x^(pnum/pden)
-  double generateApprox(int num_degree, int den_degree, 
-			unsigned long power_num, unsigned long power_den, 
-			int a_len, double* a_param, int* a_pow);
-  double generateApprox(int num_degree, int den_degree, 
-			unsigned long power_num, unsigned long power_den);
-  double generateApprox(int degree, unsigned long power_num, 
-			unsigned long power_den);
-
-  // Return the partial fraction expansion of the approximation x^(pnum/pden)
-  int getPFE(double *res, double *pole, double *norm);
-
-  // Return the partial fraction expansion of the approximation x^(-pnum/pden)
-  int getIPFE(double *res, double *pole, double *norm);
-
-  // Evaluate the rational form P(x)/Q(x) using coefficients from the
-  // solution vector param
-  double evaluateApprox(double x);
-
-  // Evaluate the rational form Q(x)/P(x) using coefficients from the
-  // solution vector param
-  double evaluateInverseApprox(double x);
-
-  // Calculate function required for the approximation
-  double evaluateFunc(double x);
-
-  // Calculate inverse function required for the approximation
-  double evaluateInverseFunc(double x);
-  
-  // Dump csv of function, approx and error
-  void csv(std::ostream &os);
-};
-
-#endif  // Include guard
-
-
-

Grid/algorithms/approx/RemezGeneral.cc

@@ -1,473 +0,0 @@
-#include<math.h>
-#include<stdio.h>
-#include<stdlib.h>
-#include<string>
-#include<iostream>
-#include<iomanip>
-#include<cassert>
-
-#include<Grid/algorithms/approx/RemezGeneral.h>
-
-
-// Constructor
-AlgRemezGeneral::AlgRemezGeneral(double lower, double upper, long precision,
-				 bigfloat (*f)(bigfloat x, void *data), void *data): f(f), 
-										     data(data), 
-										     prec(precision),
-										     apstrt(lower), apend(upper), apwidt(upper - lower),
-										     n(0), d(0), pow_n(0), pow_d(0)
-{
-  bigfloat::setDefaultPrecision(prec);
-
-  std::cout<<"Approximation bounds are ["<<apstrt<<","<<apend<<"]\n";
-  std::cout<<"Precision of arithmetic is "<<precision<<std::endl;
-}
-
-//Determine the properties of the numerator and denominator polynomials
-void AlgRemezGeneral::setupPolyProperties(int num_degree, int den_degree, PolyType num_type_in, PolyType den_type_in){
-  pow_n = num_degree;
-  pow_d = den_degree;
-
-  if(pow_n % 2 == 0 && num_type_in == PolyType::Odd) assert(0);
-  if(pow_n % 2 == 1 && num_type_in == PolyType::Even) assert(0);
-
-  if(pow_d % 2 == 0 && den_type_in == PolyType::Odd) assert(0);
-  if(pow_d % 2 == 1 && den_type_in == PolyType::Even) assert(0);
-
-  num_type = num_type_in;
-  den_type = den_type_in;
-
-  num_pows.resize(pow_n+1);
-  den_pows.resize(pow_d+1);
-
-  int n_in = 0;
-  bool odd = num_type == PolyType::Full || num_type == PolyType::Odd;
-  bool even = num_type == PolyType::Full || num_type == PolyType::Even;
-  for(int i=0;i<=pow_n;i++){
-    num_pows[i] = -1;
-    if(i % 2 == 0 && even) num_pows[i] = n_in++;
-    if(i % 2 == 1 && odd) num_pows[i] = n_in++;
-  }
-
-  std::cout << n_in << " terms in numerator" << std::endl;
-  --n_in; //power is 1 less than the number of terms, eg  pow=1   a x^1  + b x^0
-
-  int d_in = 0;
-  odd = den_type == PolyType::Full || den_type == PolyType::Odd;
-  even = den_type == PolyType::Full || den_type == PolyType::Even;
-  for(int i=0;i<=pow_d;i++){
-    den_pows[i] = -1;
-    if(i % 2 == 0 && even) den_pows[i] = d_in++;
-    if(i % 2 == 1 && odd) den_pows[i] = d_in++;
-  }
-
-  std::cout << d_in << " terms in denominator" << std::endl;
-  --d_in;
-
-  n = n_in;
-  d = d_in;
-}
-
-//Setup algorithm
-void AlgRemezGeneral::reinitializeAlgorithm(){
-  spread = 1.0e37;
-  iter = 0;
-
-  neq = n + d + 1; //not +2 because highest-power term in denominator is fixed to 1
-
-  param.resize(neq);
-  yy.resize(neq+1);
-
-  //Initialize linear equation temporaries
-  A.resize(neq*neq);
-  B.resize(neq);
-  IPS.resize(neq);
-
-  //Initialize maximum and minimum errors
-  xx.resize(neq+2);
-  mm.resize(neq+1);
-  initialGuess();
-
-  //Initialize search steps
-  step.resize(neq+1);
-  stpini();
-}
-
-double AlgRemezGeneral::generateApprox(const int num_degree, const int den_degree, 
-				       const PolyType num_type_in, const PolyType den_type_in, 
-				       const double _tolerance, const int report_freq){
-  //Setup the properties of the polynomial
-  setupPolyProperties(num_degree, den_degree, num_type_in, den_type_in);
-
-  //Setup the algorithm
-  reinitializeAlgorithm();
-
-  bigfloat tolerance = _tolerance;
-
-  //Iterate until convergance
-  while (spread > tolerance) { 
-    if (iter++ % report_freq==0)
-      std::cout<<"Iteration " <<iter-1<<" spread "<<(double)spread<<" delta "<<(double)delta << std::endl; 
-
-    equations();
-    if (delta < tolerance) {
-      std::cout<<"Iteration " << iter-1 << " delta too small (" << delta << "<" << tolerance << "), try increasing precision\n";
-      assert(0);
-    };    
-    assert( delta>= tolerance );
-
-    search();
-  }
-
-  int sign;
-  double error = (double)getErr(mm[0],&sign);
-  std::cout<<"Converged at "<<iter<<" iterations; error = "<<error<<std::endl;
-
-  // Return the maximum error in the approximation
-  return error;
-}
-
-
-// Initial values of maximal and minimal errors
-void AlgRemezGeneral::initialGuess(){
-  // Supply initial guesses for solution points
-  long ncheb = neq;			// Degree of Chebyshev error estimate
-
-  // Find ncheb+1 extrema of Chebyshev polynomial
-  bigfloat a = ncheb;
-  bigfloat r;
-
-  mm[0] = apstrt;
-  for (long i = 1; i < ncheb; i++) {
-    r = 0.5 * (1 - cos((M_PI * i)/(double) a));
-    //r *= sqrt_bf(r);
-    r = (exp((double)r)-1.0)/(exp(1.0)-1.0);
-    mm[i] = apstrt + r * apwidt;
-  }
-  mm[ncheb] = apend;
-
-  a = 2.0 * ncheb;
-  for (long i = 0; i <= ncheb; i++) {
-    r = 0.5 * (1 - cos(M_PI * (2*i+1)/(double) a));
-    //r *= sqrt_bf(r); // Squeeze to low end of interval
-    r = (exp((double)r)-1.0)/(exp(1.0)-1.0);
-    xx[i] = apstrt + r * apwidt;
-  }
-}
-
-// Initialise step sizes
-void AlgRemezGeneral::stpini(){
-  xx[neq+1] = apend;
-  delta = 0.25;
-  step[0] = xx[0] - apstrt;
-  for (int i = 1; i < neq; i++) step[i] = xx[i] - xx[i-1];
-  step[neq] = step[neq-1];
-}
-
-// Search for error maxima and minima
-void AlgRemezGeneral::search(){
-  bigfloat a, q, xm, ym, xn, yn, xx1;
-  int emsign, ensign, steps;
-
-  int meq = neq + 1;
-
-  bigfloat eclose = 1.0e30;
-  bigfloat farther = 0l;
-
-  bigfloat xx0 = apstrt;
-
-  for (int i = 0; i < meq; i++) {
-    steps = 0;
-    xx1 = xx[i]; // Next zero
-    if (i == meq-1) xx1 = apend;
-    xm = mm[i];
-    ym = getErr(xm,&emsign);
-    q = step[i];
-    xn = xm + q;
-    if (xn < xx0 || xn >= xx1) {	// Cannot skip over adjacent boundaries
-      q = -q;
-      xn = xm;
-      yn = ym;
-      ensign = emsign;
-    } else {
-      yn = getErr(xn,&ensign);
-      if (yn < ym) {
-	q = -q;
-	xn = xm;
-	yn = ym;
-	ensign = emsign;
-      }
-    }
-  
-    while(yn >= ym) {		// March until error becomes smaller.
-      if (++steps > 10)
-      	break;
-      
-      ym = yn;
-      xm = xn;
-      emsign = ensign;
-      a = xm + q;
-      if (a == xm || a <= xx0 || a >= xx1)
-	break;// Must not skip over the zeros either side.      
-
-      xn = a;
-      yn = getErr(xn,&ensign);
-    }
-
-    mm[i] = xm;			// Position of maximum
-    yy[i] = ym;			// Value of maximum
-
-    if (eclose > ym) eclose = ym;
-    if (farther < ym) farther = ym;
-
-    xx0 = xx1; // Walk to next zero.
-  } // end of search loop
-
-  q = (farther - eclose);	// Decrease step size if error spread increased
-
-  if (eclose != 0.0) q /= eclose; // Relative error spread
-
-  if (q >= spread)
-    delta *= 0.5; // Spread is increasing; decrease step size
-  
-  spread = q;
-
-  for (int i = 0; i < neq; i++) {
-    q = yy[i+1];
-    if (q != 0.0) q = yy[i] / q  - (bigfloat)1l;
-    else q = 0.0625;
-    if (q > (bigfloat)0.25) q = 0.25;
-    q *= mm[i+1] - mm[i];
-    step[i] = q * delta;
-  }
-  step[neq] = step[neq-1];
-  
-  for (int i = 0; i < neq; i++) {	// Insert new locations for the zeros.
-    xm = xx[i] - step[i];
-
-    if (xm <= apstrt)
-      continue;
-
-    if (xm >= apend)
-      continue;
-
-    if (xm <= mm[i])
-      xm = (bigfloat)0.5 * (mm[i] + xx[i]);    
-
-    if (xm >= mm[i+1])
-      xm = (bigfloat)0.5 * (mm[i+1] + xx[i]);
-    
-    xx[i] = xm;
-  }
-}
-
-// Solve the equations
-void AlgRemezGeneral::equations(){
-  bigfloat x, y, z;
-  bigfloat *aa;
-  
-  for (int i = 0; i < neq; i++) {	// set up the equations for solution by simq()
-    int ip = neq * i;		// offset to 1st element of this row of matrix
-    x = xx[i];			// the guess for this row
-    y = func(x);		// right-hand-side vector
-
-    z = (bigfloat)1l;
-    aa = A.data()+ip;
-    int t = 0;
-    for (int j = 0; j <= pow_n; j++) {
-      if(num_pows[j] != -1){ *aa++ = z; t++; }
-      z *= x;
-    }
-    assert(t == n+1);
-
-    z = (bigfloat)1l;
-    t = 0;
-    for (int j = 0; j < pow_d; j++) {
-      if(den_pows[j] != -1){ *aa++ = -y * z; t++; }
-      z *= x;
-    }
-    assert(t == d);
-
-    B[i] = y * z;		// Right hand side vector
-  }
-
-  // Solve the simultaneous linear equations.
-  if (simq()){
-    std::cout<<"simq failed\n";
-    exit(0);
-  }
-}
-
-
-// Evaluate the rational form P(x)/Q(x) using coefficients
-// from the solution vector param
-bigfloat AlgRemezGeneral::approx(const bigfloat x) const{
-  // Work backwards toward the constant term.
-  int c = n;
-  bigfloat yn = param[c--];		// Highest order numerator coefficient
-  for (int i = pow_n-1; i >= 0; i--) yn = x * yn  +  (num_pows[i] != -1 ? param[c--] : bigfloat(0l));  
-
-  c = n+d;
-  bigfloat yd = 1l; //Highest degree coefficient is 1.0
-  for (int i = pow_d-1; i >= 0; i--) yd = x * yd  +  (den_pows[i] != -1 ? param[c--] : bigfloat(0l)); 
-
-  return(yn/yd);
-}
-
-// Compute size and sign of the approximation error at x
-bigfloat AlgRemezGeneral::getErr(bigfloat x, int *sign) const{
-  bigfloat f = func(x);
-  bigfloat e = approx(x) - f;
-  if (f != 0) e /= f;
-  if (e < (bigfloat)0.0) {
-    *sign = -1;
-    e = -e;
-  }
-  else *sign = 1;
-  
-  return(e);
-}
-
-// Solve the system AX=B
-int AlgRemezGeneral::simq(){
-
-  int ip, ipj, ipk, ipn;
-  int idxpiv;
-  int kp, kp1, kpk, kpn;
-  int nip, nkp;
-  bigfloat em, q, rownrm, big, size, pivot, sum;
-  bigfloat *aa;
-  bigfloat *X = param.data();
-
-  int n = neq;
-  int nm1 = n - 1;
-  // Initialize IPS and X
-  
-  int ij = 0;
-  for (int i = 0; i < n; i++) {
-    IPS[i] = i;
-    rownrm = 0.0;
-    for(int j = 0; j < n; j++) {
-      q = abs_bf(A[ij]);
-      if(rownrm < q) rownrm = q;
-      ++ij;
-    }
-    if (rownrm == (bigfloat)0l) {
-      std::cout<<"simq rownrm=0\n";
-      return(1);
-    }
-    X[i] = (bigfloat)1.0 / rownrm;
-  }
-  
-  for (int k = 0; k < nm1; k++) {
-    big = 0.0;
-    idxpiv = 0;
-    
-    for (int i = k; i < n; i++) {
-      ip = IPS[i];
-      ipk = n*ip + k;
-      size = abs_bf(A[ipk]) * X[ip];
-      if (size > big) {
-	big = size;
-	idxpiv = i;
-      }
-    }
-    
-    if (big == (bigfloat)0l) {
-      std::cout<<"simq big=0\n";
-      return(2);
-    }
-    if (idxpiv != k) {
-      int j = IPS[k];
-      IPS[k] = IPS[idxpiv];
-      IPS[idxpiv] = j;
-    }
-    kp = IPS[k];
-    kpk = n*kp + k;
-    pivot = A[kpk];
-    kp1 = k+1;
-    for (int i = kp1; i < n; i++) {
-      ip = IPS[i];
-      ipk = n*ip + k;
-      em = -A[ipk] / pivot;
-      A[ipk] = -em;
-      nip = n*ip;
-      nkp = n*kp;
-      aa = A.data()+nkp+kp1;
-      for (int j = kp1; j < n; j++) {
-	ipj = nip + j;
-	A[ipj] = A[ipj] + em * *aa++;
-      }
-    }
-  }
-  kpn = n * IPS[n-1] + n - 1;	// last element of IPS[n] th row
-  if (A[kpn] == (bigfloat)0l) {
-    std::cout<<"simq A[kpn]=0\n";
-    return(3);
-  }
-
-  
-  ip = IPS[0];
-  X[0] = B[ip];
-  for (int i = 1; i < n; i++) {
-    ip = IPS[i];
-    ipj = n * ip;
-    sum = 0.0;
-    for (int j = 0; j < i; j++) {
-      sum += A[ipj] * X[j];
-      ++ipj;
-    }
-    X[i] = B[ip] - sum;
-  }
-  
-  ipn = n * IPS[n-1] + n - 1;
-  X[n-1] = X[n-1] / A[ipn];
-  
-  for (int iback = 1; iback < n; iback++) {
-    //i goes (n-1),...,1
-    int i = nm1 - iback;
-    ip = IPS[i];
-    nip = n*ip;
-    sum = 0.0;
-    aa = A.data()+nip+i+1;
-    for (int j= i + 1; j < n; j++) 
-      sum += *aa++ * X[j];
-    X[i] = (X[i] - sum) / A[nip+i];
-  }
-  
-  return(0);
-}
-
-void AlgRemezGeneral::csv(std::ostream & os) const{
-  os << "Numerator" << std::endl;
-  for(int i=0;i<=pow_n;i++){
-    os << getCoeffNum(i) << "*x^" << i;
-    if(i!=pow_n) os << " + ";
-  }
-  os << std::endl;
-
-  os << "Denominator" << std::endl;
-  for(int i=0;i<=pow_d;i++){
-    os << getCoeffDen(i) << "*x^" << i;
-    if(i!=pow_d) os << " + ";
-  }
-  os << std::endl;
-
-  //For a true minimax solution the errors should all be equal and the signs should oscillate +-+-+- etc
-  int sign;
-  os << "Errors at maxima: coordinate, error, (sign)" << std::endl;
-  for(int i=0;i<neq+1;i++){ 
-    os << mm[i] << " " << getErr(mm[i],&sign) << " (" << sign << ")" << std::endl;
-  }
-
-  os << "Scan over range:" << std::endl;
-  int npt = 60;
-  bigfloat dlt = (apend - apstrt)/bigfloat(npt-1);
-
-  for (bigfloat x=apstrt; x<=apend; x = x + dlt) {
-    double f = evaluateFunc(x);
-    double r = evaluateApprox(x);
-    os<< x<<","<<r<<","<<f<<","<<r-f<<std::endl;
-  }
-  return;
-}

Grid/algorithms/approx/RemezGeneral.h

@@ -1,170 +0,0 @@
-/*
-  C.Kelly Jan 2020 based on implementation by M. Clark May 2005
-
-  AlgRemezGeneral is an implementation of the Remez algorithm for approximating an arbitrary function by a rational polynomial 
-  It includes optional restriction to odd/even polynomials for the numerator and/or denominator
-*/
-
-#ifndef INCLUDED_ALG_REMEZ_GENERAL_H
-#define INCLUDED_ALG_REMEZ_GENERAL_H
-
-#include <stddef.h>
-#include <Grid/GridStd.h>
-
-#ifdef HAVE_LIBGMP
-#include "bigfloat.h"
-#else
-#include "bigfloat_double.h"
-#endif
-
-
-class AlgRemezGeneral{
- public:
-  enum PolyType { Even, Odd, Full };
-
- private:
-
-  // In GSL-style, pass the function as a function pointer. Any data required to evaluate the function is passed in as a void pointer
-  bigfloat (*f)(bigfloat x, void *data);
-  void *data;
-
-  // The approximation parameters
-  std::vector<bigfloat> param;
-  bigfloat norm;
-
-  // The number of non-zero terms in the numerator and denominator
-  int n, d;
-  // The numerator and denominator degree (i.e.  the largest power)
-  int pow_n, pow_d;
-  
-  // Specify if the numerator and/or denominator are odd/even polynomials
-  PolyType num_type;
-  PolyType den_type;
-  std::vector<int> num_pows; //contains the mapping, with -1 if not present
-  std::vector<int> den_pows;
-
-  // The bounds of the approximation
-  bigfloat apstrt, apwidt, apend;
-
-  // Variables used to calculate the approximation
-  int nd1, iter;
-  std::vector<bigfloat> xx;
-  std::vector<bigfloat> mm;
-  std::vector<bigfloat> step;
-
-  bigfloat delta, spread;
-  
-  // Variables used in search
-  std::vector<bigfloat> yy;
-
-  // Variables used in solving linear equations
-  std::vector<bigfloat> A;
-  std::vector<bigfloat> B;
-  std::vector<int> IPS;
-
-  // The number of equations we must solve at each iteration (n+d+1)
-  int neq;
-
-  // The precision of the GNU MP library
-  long prec;
-
-  // Initialize member variables associated with the polynomial's properties
-  void setupPolyProperties(int num_degree, int den_degree, PolyType num_type_in, PolyType den_type_in);
-
-  // Initial values of maximal and minmal errors
-  void initialGuess();
-
-  // Initialise step sizes
-  void stpini();
-
-  // Initialize the algorithm
-  void reinitializeAlgorithm();
-
-  // Solve the equations
-  void equations();
-
-  // Search for error maxima and minima
-  void search(); 
-
-  // Calculate function required for the approximation
-  inline bigfloat func(bigfloat x) const{
-    return f(x, data);
-  }
-
-  // Compute size and sign of the approximation error at x
-  bigfloat getErr(bigfloat x, int *sign) const;
-
-  // Solve the system AX=B   where X = param
-  int simq();
-
-  // Evaluate the rational form P(x)/Q(x) using coefficients from the solution vector param
-  bigfloat approx(bigfloat x) const;
-
- public:
-  
-  AlgRemezGeneral(double lower, double upper, long prec,
-		  bigfloat (*f)(bigfloat x, void *data), void *data);
-
-  inline int getDegree(void) const{ 
-    assert(n==d);
-    return n;
-  }
-  // Reset the bounds of the approximation
-  inline void setBounds(double lower, double upper) {
-    apstrt = lower;
-    apend = upper;
-    apwidt = apend - apstrt;
-  }
-
-  // Get the bounds of the approximation
-  inline void getBounds(double &lower, double &upper) const{ 
-    lower=(double)apstrt;
-    upper=(double)apend;
-  }
-
-  // Run the algorithm to generate the rational approximation
-  double generateApprox(int num_degree, int den_degree, 
-			PolyType num_type, PolyType den_type,
-			const double tolerance = 1e-15, const int report_freq = 1000);
-  
-  inline double generateApprox(int num_degree, int den_degree, 
-			       const double tolerance = 1e-15, const int report_freq = 1000){
-    return generateApprox(num_degree, den_degree, Full, Full, tolerance, report_freq);
-  }
-  
-  // Evaluate the rational form P(x)/Q(x) using coefficients from the
-  // solution vector param
-  inline double evaluateApprox(double x) const{
-    return (double)approx((bigfloat)x);
-  }
-
-  // Evaluate the rational form Q(x)/P(x) using coefficients from the solution vector param
-  inline double evaluateInverseApprox(double x) const{
-    return 1.0/(double)approx((bigfloat)x);
-  }  
-
-  // Calculate function required for the approximation
-  inline double evaluateFunc(double x) const{
-    return (double)func((bigfloat)x);
-  }
-
-  // Calculate inverse function required for the approximation
-  inline double evaluateInverseFunc(double x) const{
-    return 1.0/(double)func((bigfloat)x);
-  }
-
-  // Dump csv of function, approx and error
-  void csv(std::ostream &os = std::cout) const;
-
-  // Get the coefficient of the term x^i in the numerator
-  inline double getCoeffNum(const int i) const{    
-    return num_pows[i] == -1 ? 0. : double(param[num_pows[i]]);
-  }
-  // Get the coefficient of the term x^i in the denominator
-  inline double getCoeffDen(const int i) const{ 
-    if(i == pow_d) return 1.0;
-    else return den_pows[i] == -1 ? 0. : double(param[den_pows[i]+n+1]); 
-  }
-};
-
-#endif

Grid/algorithms/approx/ZMobius.cc

@@ -1,183 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/approx/ZMobius.cc
-
-    Copyright (C) 2015
-
-Author: Christopher Kelly <ckelly@phys.columbia.edu>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-
-#include <Grid/algorithms/approx/ZMobius.h>
-#include <Grid/algorithms/approx/RemezGeneral.h>
-
-NAMESPACE_BEGIN(Grid);
-NAMESPACE_BEGIN(Approx);
-
-//Compute the tanh approximation
-inline double epsilonMobius(const double x, const std::vector<ComplexD> &w){
-  int Ls = w.size();
-
-  ComplexD fxp = 1., fmp = 1.;
-  for(int i=0;i<Ls;i++){
-    fxp = fxp * ( w[i] + x );
-    fmp = fmp * ( w[i] - x );
-  }
-  return ((fxp - fmp)/(fxp + fmp)).real();
-}
-inline double epsilonMobius(const double x, const std::vector<RealD> &w){
-  int Ls = w.size();
-
-  double fxp = 1., fmp = 1.;
-  for(int i=0;i<Ls;i++){
-    fxp = fxp * ( w[i] + x );
-    fmp = fmp * ( w[i] - x );
-  }
-  return (fxp - fmp)/(fxp + fmp);
-}
-
-
-
-//Compute the tanh approximation in a form suitable for the Remez
-bigfloat epsilonMobius(bigfloat x, void* data){
-  const std::vector<RealD> &omega = *( (std::vector<RealD> const*)data );
-  bigfloat fxp(1.0);
-  bigfloat fmp(1.0);
-
-  for(int i=0;i<omega.size();i++){
-    fxp = fxp * ( bigfloat(omega[i]) + x);
-    fmp = fmp * ( bigfloat(omega[i]) - x);
-  }
-  return (fxp - fmp)/(fxp + fmp);
-}
-
-//Compute the Zmobius Omega parameters suitable for eigenvalue range   -lambda_bound <= lambda <= lambda_bound
-//Note omega_i = 1/(b_i + c_i)   where b_i and c_i are the Mobius parameters
-void computeZmobiusOmega(std::vector<ComplexD> &omega_out, const int Ls_out,
-			 const std::vector<RealD> &omega_in, const int Ls_in,
-			 const RealD lambda_bound){
-  assert(omega_in.size() == Ls_in);
-  omega_out.resize(Ls_out);
-
-  //Use the Remez algorithm to generate the appropriate rational polynomial
-  //For odd polynomial, to satisfy Haar condition must take either positive or negative half of range (cf https://arxiv.org/pdf/0803.0439.pdf page 6)  
-  AlgRemezGeneral remez(0, lambda_bound, 64, &epsilonMobius, (void*)&omega_in); 
-  remez.generateApprox(Ls_out-1, Ls_out,AlgRemezGeneral::Odd, AlgRemezGeneral::Even, 1e-15, 100);
-  remez.csv(std::cout);
-
-  //The rational approximation has the form  [ f(x) - f(-x) ] / [ f(x) + f(-x) ]  where  f(x) = \Prod_{i=0}^{L_s-1} ( \omega_i + x )
-  //cf https://academiccommons.columbia.edu/doi/10.7916/D8T72HD7  pg 102
-  //omega_i are therefore the negative of the complex roots of f(x)
-
-  //We can find the roots by recognizing that the eigenvalues of a matrix A are the roots of the characteristic polynomial
-  // \rho(\lambda) = det( A - \lambda I )    where I is the unit matrix
-  //The matrix whose characteristic polynomial is an arbitrary monic polynomial a0 + a1 x + a2 x^2 + ... x^n   is the companion matrix 
-  // A = | 0    1   0    0 0 .... 0 |
-  //     | 0    0   1    0 0 .... 0 |
-  //     | :    :   :    : :      : |
-  //     | 0    0   0    0 0      1
-  //     | -a0 -a1 -a2  ...  ... -an|
-
-
-  //Note the Remez defines the largest power to have unit coefficient
-  std::vector<RealD> coeffs(Ls_out+1);
-  for(int i=0;i<Ls_out+1;i+=2) coeffs[i] = coeffs[i] = remez.getCoeffDen(i); //even powers
-  for(int i=1;i<Ls_out+1;i+=2) coeffs[i] = coeffs[i] = remez.getCoeffNum(i); //odd powers
-
-  std::vector<std::complex<RealD> > roots(Ls_out);
-
-  //Form the companion matrix
-  Eigen::MatrixXd compn(Ls_out,Ls_out);
-  for(int i=0;i<Ls_out-1;i++) compn(i,0) = 0.;
-  compn(Ls_out - 1, 0) = -coeffs[0];
-  
-  for(int j=1;j<Ls_out;j++){
-    for(int i=0;i<Ls_out-1;i++) compn(i,j) = i == j-1 ? 1. : 0.;
-    compn(Ls_out - 1, j) = -coeffs[j];
-  }
-
-  //Eigensolve
-  Eigen::EigenSolver<Eigen::MatrixXd> slv(compn, false);
-
-  const auto & ev = slv.eigenvalues();
-  for(int i=0;i<Ls_out;i++)
-    omega_out[i] = -ev(i);
-
-  //Sort ascending (smallest at start of vector!)
-  std::sort(omega_out.begin(), omega_out.end(), 
-	    [&](const ComplexD &a, const ComplexD &b){ return a.real() < b.real() || (a.real() == b.real() && a.imag() < b.imag()); });
-
-  //McGlynn thesis pg 122 suggest improved iteration counts if magnitude of omega diminishes towards the center of the 5th dimension
-  std::vector<ComplexD> omega_tmp = omega_out;
-  int s_low=0, s_high=Ls_out-1, ss=0;
-  for(int s_from = Ls_out-1; s_from >= 0; s_from--){ //loop from largest omega
-    int s_to;
-    if(ss % 2 == 0){
-      s_to = s_low++;
-    }else{
-      s_to = s_high--;
-    }
-    omega_out[s_to] = omega_tmp[s_from];
-    ++ss;
-  }
-  
-  std::cout << "Resulting omega_i:" << std::endl;  
-  for(int i=0;i<Ls_out;i++)
-    std::cout << omega_out[i] << std::endl;
-
-  std::cout << "Test result matches the approximate polynomial found by the Remez" << std::endl;
-  std::cout << "<x> <remez approx> <poly approx> <diff poly approx remez approx> <exact> <diff poly approx exact>\n";
-  
-  int npt = 60;
-  double dlt = lambda_bound/double(npt-1);
-
-  for (int i =0; i<npt; i++){
-    double x = i*dlt;
-    double r = remez.evaluateApprox(x);
-    double p = epsilonMobius(x, omega_out);
-    double e = epsilonMobius(x, omega_in);
-
-    std::cout << x<< " " << r << " " << p <<" " <<r-p << " " << e << " " << e-p << std::endl;
-  }
-
-}
-  
-//mobius_param = b+c   with b-c=1
-void computeZmobiusOmega(std::vector<ComplexD> &omega_out, const int Ls_out, const RealD mobius_param, const int Ls_in, const RealD lambda_bound){
-  std::vector<RealD> omega_in(Ls_in, 1./mobius_param);
-  computeZmobiusOmega(omega_out, Ls_out, omega_in, Ls_in, lambda_bound);
-}
-
-//ZMobius class takes  gamma_i = (b+c) omega_i as its input, where b, c are factored out
-void computeZmobiusGamma(std::vector<ComplexD> &gamma_out, 
-			 const RealD mobius_param_out, const int Ls_out, 
-			 const RealD mobius_param_in, const int Ls_in,
-			 const RealD lambda_bound){
-  computeZmobiusOmega(gamma_out, Ls_out, mobius_param_in, Ls_in, lambda_bound);
-  for(int i=0;i<Ls_out;i++) gamma_out[i] = gamma_out[i] * mobius_param_out;
-}
-//Assumes mobius_param_out == mobius_param_in
-void computeZmobiusGamma(std::vector<ComplexD> &gamma_out, const int Ls_out, const RealD mobius_param, const int Ls_in, const RealD lambda_bound){
-  computeZmobiusGamma(gamma_out, mobius_param, Ls_out, mobius_param, Ls_in, lambda_bound);
-}
-
-NAMESPACE_END(Approx);
-NAMESPACE_END(Grid);

Grid/algorithms/approx/ZMobius.h

@@ -1,57 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/approx/ZMobius.h
-
-    Copyright (C) 2015
-
-Author: Christopher Kelly <ckelly@phys.columbia.edu>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_ZMOBIUS_APPROX_H
-#define GRID_ZMOBIUS_APPROX_H
-
-#include <Grid/GridCore.h>
-
-NAMESPACE_BEGIN(Grid);
-NAMESPACE_BEGIN(Approx);
-
-//Compute the Zmobius Omega parameters suitable for eigenvalue range   -lambda_bound <= lambda <= lambda_bound
-//Note omega_i = 1/(b_i + c_i)   where b_i and c_i are the Mobius parameters
-void computeZmobiusOmega(std::vector<ComplexD> &omega_out, const int Ls_out,
-			 const std::vector<RealD> &omega_in, const int Ls_in,
-			 const RealD lambda_bound);
-  
-//mobius_param = b+c   with b-c=1
-void computeZmobiusOmega(std::vector<ComplexD> &omega_out, const int Ls_out, const RealD mobius_param, const int Ls_in, const RealD lambda_bound);
-
-//ZMobius class takes  gamma_i = (b+c) omega_i as its input, where b, c are factored out
-void computeZmobiusGamma(std::vector<ComplexD> &gamma_out, 
-			 const RealD mobius_param_out, const int Ls_out, 
-			 const RealD mobius_param_in, const int Ls_in,
-			 const RealD lambda_bound);
-
-//Assumes mobius_param_out == mobius_param_in
-void computeZmobiusGamma(std::vector<ComplexD> &gamma_out, const int Ls_out, const RealD mobius_param, const int Ls_in, const RealD lambda_bound);
-
-NAMESPACE_END(Approx);
-NAMESPACE_END(Grid);
-
-#endif

Grid/algorithms/approx/Zolotarev.cc

@@ -1,730 +0,0 @@
-/* -*- Mode: C; comment-column: 22; fill-column: 79; compile-command: "gcc -o zolotarev zolotarev.c -ansi -pedantic -lm -DTEST"; -*- */
-#define VERSION Source Time-stamp: <2015-05-18 16:32:08 neo>
-
-/* These C routines evalute the optimal rational approximation to the signum
- * function for epsilon < |x| < 1 using Zolotarev's theorem.
- *
- * To obtain reliable results for high degree approximations (large n) it is
- * necessary to compute using sufficiently high precision arithmetic. To this
- * end the code has been parameterised to work with the preprocessor names
- * INTERNAL_PRECISION and PRECISION set to float, double, or long double as
- * appropriate. INTERNAL_PRECISION is used in computing the Zolotarev
- * coefficients, which are converted to PRECISION before being returned to the
- * caller. Presumably even higher precision could be obtained using GMP or
- * similar package, but bear in mind that rounding errors might also be
- * significant in evaluating the resulting polynomial. The convergence criteria
- * have been written in a precision-independent form. */
-
-#include <math.h>
-#include <stdlib.h>
-#include <stdio.h>
-
-#define MAX(a,b) ((a) > (b) ? (a) : (b))
-#define MIN(a,b) ((a) < (b) ? (a) : (b))
-
-#ifndef INTERNAL_PRECISION
-#define INTERNAL_PRECISION double
-#endif
-
-#include "Zolotarev.h"
-#define ZOLOTAREV_INTERNAL
-#undef ZOLOTAREV_DATA
-#define ZOLOTAREV_DATA izd
-#undef ZPRECISION
-#define ZPRECISION INTERNAL_PRECISION
-#include "Zolotarev.h"
-#undef ZOLOTAREV_INTERNAL
-
-/* The ANSI standard appears not to know what pi is */
-
-#ifndef M_PI
-#define M_PI ((INTERNAL_PRECISION) 3.141592653589793238462643383279502884197\
-169399375105820974944592307816406286208998628034825342117068)
-#endif
-
-#define ZERO ((INTERNAL_PRECISION) 0)
-#define ONE ((INTERNAL_PRECISION) 1)
-#define TWO ((INTERNAL_PRECISION) 2)
-#define THREE ((INTERNAL_PRECISION) 3)
-#define FOUR ((INTERNAL_PRECISION) 4)
-#define HALF (ONE/TWO)
-
-/* The following obscenity seems to be the simplest (?) way to coerce the C
- * preprocessor to convert the value of a preprocessor token into a string. */
-
-#define PP2(x) #x
-#define PP1(a,b,c) a ## b(c)
-#define STRINGIFY(name) PP1(PP,2,name)
-
-/* Compute the partial fraction expansion coefficients (alpha) from the
- * factored form */
-NAMESPACE_BEGIN(Grid);
-NAMESPACE_BEGIN(Approx);
-
-static void construct_partfrac(izd *z) {
-  int dn = z -> dn, dd = z -> dd, type = z -> type;
-  int j, k, da = dd + 1 + type;
-  INTERNAL_PRECISION A = z -> A, *a = z -> a, *ap = z -> ap, *alpha;
-  alpha = (INTERNAL_PRECISION*) malloc(da * sizeof(INTERNAL_PRECISION));
-  for (j = 0; j < dd; j++)
-    for (k = 0, alpha[j] = A; k < dd; k++)
-      alpha[j] *=
-	(k < dn ? ap[j] - a[k] : ONE) / (k == j ? ONE : ap[j] - ap[k]);
-  if(type == 1)	      /* implicit pole at zero? */
-    for (k = 0, alpha[dd] = A * (dn > dd ? - a[dd] : ONE); k < dd; k++) {
-      alpha[dd] *= a[k] / ap[k];
-      alpha[k] *= (dn > dd ? ap[k] - a[dd] : ONE) / ap[k];
-    }
-  alpha[da-1] = dn == da - 1 ? A : ZERO;
-  z -> alpha = alpha;
-  z -> da = da;
-  return;
-}
-
-/* Convert factored polynomial into dense polynomial. The input is the overall
- * factor A and the roots a[i], such that p = A product(x - a[i], i = 1..d) */
-
-static INTERNAL_PRECISION *poly_factored_to_dense(INTERNAL_PRECISION A, 
-						  INTERNAL_PRECISION *a,
-						  int d) {
-  INTERNAL_PRECISION *p;
-  int i, j;
-  p = (INTERNAL_PRECISION *) malloc((d + 2) * sizeof(INTERNAL_PRECISION));
-  p[0] = A;
-  for (i = 0; i < d; i++) {
-    p[i+1] = p[i];
-    for (j = i; j > 0; j--) p[j] = p[j-1] - a[i]*p[j];
-    p[0] *= - a[i];
-  }
-  return p;
-}
-
-/* Convert a rational function of the form R0(x) = x p(x^2)/q(x^2) (type 0) or
- * R1(x) = p(x^2)/[x q(x^2)] (type 1) into its continued fraction
- * representation. We assume that 0 <= deg(q) - deg(p) <= 1 for type 0 and 0 <=
- * deg(p) - deg(q) <= 1 for type 1. On input p and q are in factored form, and
- * deg(q) = dq, deg(p) = dp.  The output is the continued fraction coefficients
- * beta, where R(x) = beta[0] x + 1/(beta[1] x + 1/(...)).
- *
- * The method used is as follows. There are four cases to consider:
- *
- * 0.i.  Type 0, deg p = deg q
- *
- * 0.ii. Type 0, deg p = deg q - 1
- *
- * 1.i.  Type 1, deg p = deg q
- *
- * 1.ii. Type 1, deg p = deg q + 1
- *
- * and these are connected by two transformations:
- *
- * A. To obtain a continued fraction expansion of type 1 we use a single-step
- * polynomial division we find beta and r(x) such that p(x) = beta x q(x) +
- * r(x), with deg(r) = deg(q). This implies that p(x^2) = beta x^2 q(x^2) +
- * r(x^2), and thus R1(x) = x beta + r(x^2)/(x q(x^2)) = x beta + 1/R0(x)
- * with R0(x) = x q(x^2)/r(x^2).
- *
- * B. A continued fraction expansion of type 0 is obtained in a similar, but
- * not identical, manner. We use the polynomial division algorithm to compute
- * the quotient beta and the remainder r that satisfy p(x) = beta q(x) + r(x)
- * with deg(r) = deg(q) - 1. We thus have x p(x^2) = x beta q(x^2) + x r(x^2),
- * so R0(x) = x beta + x r(x^2)/q(x^2) = x beta + 1/R1(x) with R1(x) = q(x^2) /
- * (x r(x^2)).
- *
- * Note that the deg(r) must be exactly deg(q) for (A) and deg(q) - 1 for (B)
- * because p and q have disjoint roots all of multiplicity 1. This means that
- * the division algorithm requires only a single polynomial subtraction step.
- *
- * The transformations between the cases form the following finite state
- * automaton:
- *
- * +------+            +------+            +------+            +------+
- * |      |            |      | ---(A)---> |      |            |      |
- * | 0.ii | ---(B)---> | 1.ii |            | 0.i  | <---(A)--- | 1.i  |
- * |      |            |      | <---(B)--- |      |            |      |
- * +------+            +------+            +------+            +------+
- */
-
-static INTERNAL_PRECISION *contfrac_A(INTERNAL_PRECISION *,
-				      INTERNAL_PRECISION *,
-				      INTERNAL_PRECISION *,
-				      INTERNAL_PRECISION *, int, int);
-
-static INTERNAL_PRECISION *contfrac_B(INTERNAL_PRECISION *,
-				      INTERNAL_PRECISION *,
-				      INTERNAL_PRECISION *,
-				      INTERNAL_PRECISION *, int, int);
-
-static void construct_contfrac(izd *z){
-  INTERNAL_PRECISION *r, A = z -> A, *p = z -> a, *q = z -> ap;
-  int dp = z -> dn, dq = z -> dd, type = z -> type;
-
-  z -> db = 2 * dq + 1 + type;
-  z -> beta = (INTERNAL_PRECISION *)
-    malloc(z -> db * sizeof(INTERNAL_PRECISION));
-  p = poly_factored_to_dense(A, p, dp);
-  q = poly_factored_to_dense(ONE, q, dq);
-  r = (INTERNAL_PRECISION *) malloc((MAX(dp,dq) + 1) *
-				    sizeof(INTERNAL_PRECISION));
-  if (type == 0) (void) contfrac_B(z -> beta, p, q, r, dp, dq);
-  else (void) contfrac_A(z -> beta, p, q, r, dp, dq);
-  free(p); free(q); free(r);
-  return;
-}
-
-static INTERNAL_PRECISION *contfrac_A(INTERNAL_PRECISION *beta,
-				      INTERNAL_PRECISION *p,
-				      INTERNAL_PRECISION *q,
-				      INTERNAL_PRECISION *r, int dp, int dq) {
-  INTERNAL_PRECISION quot, *rb;
-  int j;
-
-  /* p(x) = x beta q(x) + r(x); dp = dq or dp = dq + 1 */
-
-  quot = dp == dq ? ZERO : p[dp] / q[dq];
-  r[0] = p[0];
-  for (j = 1; j <= dp; j++) r[j] = p[j] - quot * q[j-1];
-#ifdef DEBUG
-  printf("%s: Continued Fraction form: deg p = %2d, deg q = %2d, beta = %g\n",
-	 __FUNCTION__, dp, dq, (float) quot);
-  for (j = 0; j <= dq + 1; j++)
-    printf("\tp[%2d] = %14.6g\tq[%2d] = %14.6g\tr[%2d] = %14.6g\n",
-	   j, (float) (j > dp ? ZERO : p[j]),
-	   j, (float) (j == 0 ? ZERO : q[j-1]),
-	   j, (float) (j == dp ? ZERO : r[j]));
-#endif /* DEBUG */
-  *(rb = contfrac_B(beta, q, r, p, dq, dq)) = quot;
-  return rb + 1;
-}
-
-static INTERNAL_PRECISION *contfrac_B(INTERNAL_PRECISION *beta,
-				      INTERNAL_PRECISION *p,
-				      INTERNAL_PRECISION *q,
-				      INTERNAL_PRECISION *r, int dp, int dq) {
-  INTERNAL_PRECISION quot, *rb;
-  int j;
-
-  /* p(x) = beta q(x) + r(x); dp = dq or dp = dq - 1 */
-
-  quot = dp == dq ? p[dp] / q[dq] : ZERO;
-  for (j = 0; j < dq; j++) r[j] = p[j] - quot * q[j];
-#ifdef DEBUG
-  printf("%s: Continued Fraction form: deg p = %2d, deg q = %2d, beta = %g\n",
-	 __FUNCTION__, dp, dq, (float) quot);
-  for (j = 0; j <= dq; j++)
-    printf("\tp[%2d] = %14.6g\tq[%2d] = %14.6g\tr[%2d] = %14.6g\n",
-	   j, (float) (j > dp ? ZERO : p[j]),
-	   j, (float) q[j],
-	   j, (float) (j == dq ? ZERO : r[j]));
-#endif /* DEBUG */
-  *(rb = dq > 0 ? contfrac_A(beta, q, r, p, dq, dq-1) : beta) = quot;
-  return rb + 1;
-}
-
-/* The global variable U is used to hold the argument u throughout the AGM
- * recursion. The global variables F and K are set in the innermost
- * instantiation of the recursive function AGM to the values of the elliptic
- * integrals F(u,k) and K(k) respectively. They must be made thread local to
- * make this code thread-safe in a multithreaded environment. */
-
-static INTERNAL_PRECISION U, F, K;	/* THREAD LOCAL */
-
-/* Recursive implementation of Gauss' arithmetico-geometric mean, which is the
- * kernel of the method used to compute the Jacobian elliptic functions
- * sn(u,k), cn(u,k), and dn(u,k) with parameter k (where 0 < k < 1), as well
- * as the elliptic integral F(s,k) satisfying F(sn(u,k)) = u and the complete
- * elliptic integral K(k).
- *
- * The algorithm used is a recursive implementation of the Gauss (Landen)
- * transformation.
- *
- * The function returns the value of sn(u,k'), where k' is the dual parameter,
- * and also sets the values of the global variables F and K.  The latter is
- * used to determine the sign of cn(u,k').
- *
- * The algorithm is deemed to have converged when b ceases to increase. This
- * works whatever INTERNAL_PRECISION is specified. */
-
-static INTERNAL_PRECISION AGM(INTERNAL_PRECISION a,
-			      INTERNAL_PRECISION b,
-			      INTERNAL_PRECISION s) {
-  static INTERNAL_PRECISION pb = -ONE;
-  INTERNAL_PRECISION c, d, xi;
-
-  if (b <= pb) {
-    pb = -ONE;
-    F = asin(s) / a;		/* Here, a is the AGM */
-    K = M_PI / (TWO * a);
-    return sin(U * a);
-  }
-  pb = b;
-  c = a - b;
-  d = a + b;
-  xi = AGM(HALF*d, sqrt(a*b), ONE + c*c == ONE ?
-	   HALF*s*d/a : (a - sqrt(a*a - s*s*c*d))/(c*s));
-  return 2*a*xi / (d + c*xi*xi);
-}
-
-/* Computes sn(u,k), cn(u,k), dn(u,k), F(u,k), and K(k). It is essentially a
- * wrapper for the routine AGM. The sign of cn(u,k) is defined to be -1 if
- * K(k) < u < 3*K(k) and +1 otherwise, and thus sign is computed by some quite
- * unnecessarily obfuscated bit manipulations. */
-
-static void sncndnFK(INTERNAL_PRECISION u, INTERNAL_PRECISION k,
-		     INTERNAL_PRECISION* sn, INTERNAL_PRECISION* cn,
-		     INTERNAL_PRECISION* dn, INTERNAL_PRECISION* elF,
-		     INTERNAL_PRECISION* elK) {
-  int sgn;
-  U = u;
-  *sn = AGM(ONE, sqrt(ONE - k*k), u);
-  sgn = ((int) (fabs(u) / K)) % 4; /* sgn = 0, 1, 2, 3 */
-  sgn ^= sgn >> 1;    /* (sgn & 1) = 0, 1, 1, 0 */
-  sgn = 1 - ((sgn & 1) << 1);	/* sgn = 1, -1, -1, 1 */
-  *cn = ((INTERNAL_PRECISION) sgn) * sqrt(ONE - *sn * *sn);
-  *dn = sqrt(ONE - k*k* *sn * *sn);
-  *elF = F;
-  *elK = K;
-}
-
-/* Compute the coefficients for the optimal rational approximation R(x) to
- * sgn(x) of degree n over the interval epsilon < |x| < 1 using Zolotarev's
- * formula. 
- *
- * Set type = 0 for the Zolotarev approximation, which is zero at x = 0, and
- * type = 1 for the approximation which is infinite at x = 0. */
-
-zolotarev_data* zolotarev(PRECISION epsilon, int n, int type) {
-  INTERNAL_PRECISION A, c, cp, kp, ksq, sn, cn, dn, Kp, Kj, z, z0, t, M, F,
-    l, invlambda, xi, xisq, *tv, s, opl;
-  int m, czero, ts;
-  zolotarev_data *zd;
-  izd *d = (izd*) malloc(sizeof(izd));
-
-  d -> type = type;
-  d -> epsilon = (INTERNAL_PRECISION) epsilon;
-  d -> n = n;
-  d -> dd = n / 2;
-  d -> dn = d -> dd - 1 + n % 2; /* n even: dn = dd - 1, n odd: dn = dd */
-  d -> deg_denom = 2 * d -> dd;
-  d -> deg_num = 2 * d -> dn + 1;
-
-  d -> a = (INTERNAL_PRECISION*) malloc((1 + d -> dn) *
-					sizeof(INTERNAL_PRECISION));
-  d -> ap = (INTERNAL_PRECISION*) malloc(d -> dd *
-					 sizeof(INTERNAL_PRECISION));
-  ksq = d -> epsilon * d -> epsilon;
-  kp = sqrt(ONE - ksq);
-  sncndnFK(ZERO, kp, &sn, &cn, &dn, &F, &Kp); /* compute Kp = K(kp) */
-  z0 = TWO * Kp / (INTERNAL_PRECISION) n;
-  M = ONE;
-  A = ONE / d -> epsilon;
-
-  sncndnFK(HALF * z0, kp, &sn, &cn, &dn, &F, &Kj); /* compute xi */
-  xi = ONE / dn;
-  xisq = xi * xi;
-  invlambda = xi;
-
-  for (m = 0; m < d -> dd; m++) {
-    czero = 2 * (m + 1) == n; /* n even and m = dd -1 */
-
-    z = z0 * ((INTERNAL_PRECISION) m + ONE);
-    sncndnFK(z, kp, &sn, &cn, &dn, &F, &Kj);
-    t = cn / sn;
-    c = - t*t;
-    if (!czero) (d -> a)[d -> dn - 1 - m] = ksq / c;
-
-    z = z0 * ((INTERNAL_PRECISION) m + HALF);
-    sncndnFK(z, kp, &sn, &cn, &dn, &F, &Kj);
-    t = cn / sn;
-    cp = - t*t;
-    (d -> ap)[d -> dd - 1 - m] = ksq / cp;
-
-    M *= (ONE - c) / (ONE - cp);
-    A *= (czero ? -ksq : c) * (ONE - cp) / (cp * (ONE - c));
-    invlambda *= (ONE - c*xisq) / (ONE - cp*xisq);
-  }
-  invlambda /= M;
-  d -> A = TWO / (ONE + invlambda) * A;
-  d -> Delta = (invlambda - ONE) / (invlambda + ONE);
-
-  d -> gamma = (INTERNAL_PRECISION*) malloc((1 + d -> n) *
-					    sizeof(INTERNAL_PRECISION));
-  l = ONE / invlambda;
-  opl = ONE + l;
-  sncndnFK(sqrt( d -> type == 1
-		   ? (THREE + l) / (FOUR * opl)
-		   : (ONE + THREE*l) / (opl*opl*opl)
-	       ), sqrt(ONE - l*l), &sn, &cn, &dn, &F, &Kj);
-  s = M * F;
-  for (m = 0; m < d -> n; m++) {
-    sncndnFK(s + TWO*Kp*m/n, kp, &sn, &cn, &dn, &F, &Kj);
-    d -> gamma[m] = d -> epsilon / dn;
-  }
-
-  /* If R(x) is a Zolotarev rational approximation of degree (n,m) with maximum
-   * error Delta, then (1 - Delta^2) / R(x) is also an optimal Chebyshev
-   * approximation of degree (m,n) */
-
-  if (d -> type == 1) {
-    d -> A = (ONE - d -> Delta * d -> Delta) / d -> A;
-    tv = d -> a; d -> a = d -> ap; d -> ap = tv;
-    ts = d -> dn; d -> dn = d -> dd; d -> dd = ts;
-    ts = d -> deg_num; d -> deg_num = d -> deg_denom; d -> deg_denom = ts;
-  }
-
-  construct_partfrac(d);
-  construct_contfrac(d);
-
-  /* Converting everything to PRECISION for external use only */
-
-  zd = (zolotarev_data*) malloc(sizeof(zolotarev_data));
-  zd -> A = (PRECISION) d -> A;
-  zd -> Delta = (PRECISION) d -> Delta;
-  zd -> epsilon = (PRECISION) d -> epsilon;
-  zd -> n = d -> n;
-  zd -> type = d -> type;
-  zd -> dn = d -> dn;
-  zd -> dd = d -> dd;
-  zd -> da = d -> da;
-  zd -> db = d -> db;
-  zd -> deg_num = d -> deg_num;
-  zd -> deg_denom = d -> deg_denom;
-
-  zd -> a = (PRECISION*) malloc(zd -> dn * sizeof(PRECISION));
-  for (m = 0; m < zd -> dn; m++) zd -> a[m] = (PRECISION) d -> a[m];
-  free(d -> a);
-
-  zd -> ap = (PRECISION*) malloc(zd -> dd * sizeof(PRECISION));
-  for (m = 0; m < zd -> dd; m++) zd -> ap[m] = (PRECISION) d -> ap[m];
-  free(d -> ap);
-
-  zd -> alpha = (PRECISION*) malloc(zd -> da * sizeof(PRECISION));
-  for (m = 0; m < zd -> da; m++) zd -> alpha[m] = (PRECISION) d -> alpha[m];
-  free(d -> alpha);
-
-  zd -> beta = (PRECISION*) malloc(zd -> db * sizeof(PRECISION));
-  for (m = 0; m < zd -> db; m++) zd -> beta[m] = (PRECISION) d -> beta[m];
-  free(d -> beta);
-
-  zd -> gamma = (PRECISION*) malloc(zd -> n * sizeof(PRECISION));
-  for (m = 0; m < zd -> n; m++) zd -> gamma[m] = (PRECISION) d -> gamma[m];
-  free(d -> gamma);
-
-  free(d);
-  return zd;
-}
-
-
-void zolotarev_free(zolotarev_data *zdata)
-{
-    free(zdata -> a);
-    free(zdata -> ap);
-    free(zdata -> alpha);
-    free(zdata -> beta);
-    free(zdata -> gamma);
-    free(zdata);
-}
-
-
-zolotarev_data* higham(PRECISION epsilon, int n) {
-  INTERNAL_PRECISION A, M, c, cp, z, z0, t, epssq;
-  int m, czero;
-  zolotarev_data *zd;
-  izd *d = (izd*) malloc(sizeof(izd));
-
-  d -> type = 0;
-  d -> epsilon = (INTERNAL_PRECISION) epsilon;
-  d -> n = n;
-  d -> dd = n / 2;
-  d -> dn = d -> dd - 1 + n % 2; /* n even: dn = dd - 1, n odd: dn = dd */
-  d -> deg_denom = 2 * d -> dd;
-  d -> deg_num = 2 * d -> dn + 1;
-
-  d -> a = (INTERNAL_PRECISION*) malloc((1 + d -> dn) *
-					sizeof(INTERNAL_PRECISION));
-  d -> ap = (INTERNAL_PRECISION*) malloc(d -> dd *
-					 sizeof(INTERNAL_PRECISION));
-  A = (INTERNAL_PRECISION) n;
-  z0 = M_PI / A;
-  A = n % 2 == 0 ? A : ONE / A;
-  M = d -> epsilon * A;
-  epssq = d -> epsilon * d -> epsilon;
-
-  for (m = 0; m < d -> dd; m++) {
-    czero = 2 * (m + 1) == n; /* n even and m = dd - 1*/
-
-    if (!czero) {
-      z = z0 * ((INTERNAL_PRECISION) m + ONE);
-      t = tan(z);
-      c = - t*t;
-      (d -> a)[d -> dn - 1 - m] = c;
-      M *= epssq - c;
-    }
-
-    z = z0 * ((INTERNAL_PRECISION) m + HALF);
-    t = tan(z);
-    cp = - t*t;
-    (d -> ap)[d -> dd - 1 - m] = cp;
-    M /= epssq - cp;
-  }
-
-  d -> gamma = (INTERNAL_PRECISION*) malloc((1 + d -> n) *
-					    sizeof(INTERNAL_PRECISION));
-  for (m = 0; m < d -> n; m++) d -> gamma[m] = ONE;
-
-  d -> A = A;
-  d -> Delta = ONE - M;
-
-  construct_partfrac(d);
-  construct_contfrac(d);
-
-  /* Converting everything to PRECISION for external use only */
-
-  zd = (zolotarev_data*) malloc(sizeof(zolotarev_data));
-  zd -> A = (PRECISION) d -> A;
-  zd -> Delta = (PRECISION) d -> Delta;
-  zd -> epsilon = (PRECISION) d -> epsilon;
-  zd -> n = d -> n;
-  zd -> type = d -> type;
-  zd -> dn = d -> dn;
-  zd -> dd = d -> dd;
-  zd -> da = d -> da;
-  zd -> db = d -> db;
-  zd -> deg_num = d -> deg_num;
-  zd -> deg_denom = d -> deg_denom;
-
-  zd -> a = (PRECISION*) malloc(zd -> dn * sizeof(PRECISION));
-  for (m = 0; m < zd -> dn; m++) zd -> a[m] = (PRECISION) d -> a[m];
-  free(d -> a);
-
-  zd -> ap = (PRECISION*) malloc(zd -> dd * sizeof(PRECISION));
-  for (m = 0; m < zd -> dd; m++) zd -> ap[m] = (PRECISION) d -> ap[m];
-  free(d -> ap);
-
-  zd -> alpha = (PRECISION*) malloc(zd -> da * sizeof(PRECISION));
-  for (m = 0; m < zd -> da; m++) zd -> alpha[m] = (PRECISION) d -> alpha[m];
-  free(d -> alpha);
-
-  zd -> beta = (PRECISION*) malloc(zd -> db * sizeof(PRECISION));
-  for (m = 0; m < zd -> db; m++) zd -> beta[m] = (PRECISION) d -> beta[m];
-  free(d -> beta);
-
-  zd -> gamma = (PRECISION*) malloc(zd -> n * sizeof(PRECISION));
-  for (m = 0; m < zd -> n; m++) zd -> gamma[m] = (PRECISION) d -> gamma[m];
-  free(d -> gamma);
-
-  free(d);
-  return zd;
-}
-
-NAMESPACE_END(Approx);
-NAMESPACE_END(Grid);
-
-#ifdef TEST
-
-#undef ZERO
-#define ZERO ((PRECISION) 0)
-#undef ONE
-#define ONE ((PRECISION) 1)
-#undef TWO
-#define TWO ((PRECISION) 2)
-
-/* Evaluate the rational approximation R(x) using the factored form */
-
-static PRECISION zolotarev_eval(PRECISION x, zolotarev_data* rdata) {
-  int m;
-  PRECISION R;
-
-  if (rdata -> type == 0) {
-    R = rdata -> A * x;
-    for (m = 0; m < rdata -> deg_denom/2; m++)
-      R *= (2*(m+1) > rdata -> deg_num ? ONE : x*x - rdata -> a[m]) /
-	(x*x - rdata -> ap[m]);
-  } else {
-    R = rdata -> A / x;
-    for (m = 0; m < rdata -> deg_num/2; m++)
-      R *= (x*x - rdata -> a[m]) /
-	(2*(m+1) > rdata -> deg_denom ? ONE : x*x - rdata -> ap[m]);
-  }
-  return R;
-}
-
-/* Evaluate the rational approximation R(x) using the partial fraction form */
-
-static PRECISION zolotarev_partfrac_eval(PRECISION x, zolotarev_data* rdata) {
-  int m;
-  PRECISION R = rdata -> alpha[rdata -> da - 1];
-  for (m = 0; m < rdata -> dd; m++)
-    R += rdata -> alpha[m] / (x * x - rdata -> ap[m]);
-  if (rdata -> type == 1) R += rdata -> alpha[rdata -> dd] / (x * x);
-  return R * x;
-}    
-
-/* Evaluate the rational approximation R(x) using continued fraction form. 
- *
- * If x = 0 and type = 1 then the result should be INF, whereas if x = 0 and
- * type = 0 then the result should be 0, but division by zero will occur at
- * intermediate stages of the evaluation. For IEEE implementations with
- * non-signalling overflow this will work correctly since 1/(1/0) = 1/INF = 0,
- * but with signalling overflow you will get an error message. */
-
-static PRECISION zolotarev_contfrac_eval(PRECISION x, zolotarev_data* rdata) {
-  int m;
-  PRECISION R = rdata -> beta[0] * x;
-  for (m = 1; m < rdata -> db; m++) R = rdata -> beta[m] * x + ONE / R;
-  return R;
-}    
-
-/* Evaluate the rational approximation R(x) using Cayley form */
-
-static PRECISION zolotarev_cayley_eval(PRECISION x, zolotarev_data* rdata) {
-  int m;
-  PRECISION T;
-
-  T = rdata -> type == 0 ? ONE : -ONE;
-  for (m = 0; m < rdata -> n; m++)
-    T *= (rdata -> gamma[m] - x) / (rdata -> gamma[m] + x);
-  return (ONE - T) / (ONE + T);
-}
-
-
-/* Test program. Apart from printing out the parameters for R(x) it produces
- * the following data files for plotting (unless NPLOT is defined):
- *
- * zolotarev-fn is a plot of R(x) for |x| < 1.2. This should look like sgn(x).
- *
- * zolotarev-err is a plot of the error |R(x) - sgn(x)| scaled by 1/Delta. This
- * should oscillate deg_num + deg_denom + 2 times between +1 and -1 over the
- * domain epsilon <= |x| <= 1.
- *
- * If ALLPLOTS is defined then zolotarev-partfrac (zolotarev-contfrac) is a
- * plot of the difference between the values of R(x) computed using the
- * factored form and the partial fraction (continued fraction) form, scaled by
- * 1/Delta. It should be zero everywhere. */
-
-int main(int argc, char** argv) {
-  
-  int m, n, plotpts = 5000, type = 0;
-  float eps, x, ypferr, ycferr, ycaylerr, maxypferr, maxycferr, maxycaylerr;
-  zolotarev_data *rdata;
-  PRECISION y;
-  FILE *plot_function, *plot_error, 
-    *plot_partfrac, *plot_contfrac, *plot_cayley;
-
-  if (argc < 3 || argc > 4) {
-    fprintf(stderr, "Usage: %s epsilon n [type]\n", *argv);
-    exit(EXIT_FAILURE);
-  }
-  sscanf(argv[1], "%g", &eps);	/* First argument is epsilon */
-  sscanf(argv[2], "%d", &n);	/* Second argument is n */
-  if (argc == 4) sscanf(argv[3], "%d", &type); /* Third argument is type */
-
-  if (type < 0 || type > 2) {
-    fprintf(stderr, "%s: type must be 0 (Zolotarev R(0) = 0),\n"
-	    "\t\t1 (Zolotarev R(0) = Inf, or 2 (Higham)\n", *argv);
-    exit(EXIT_FAILURE);
-  }
-
-  rdata = type == 2 
-    ? higham((PRECISION) eps, n) 
-    : zolotarev((PRECISION) eps, n, type);
-
-  printf("Zolotarev Test: R(epsilon = %g, n = %d, type = %d)\n\t" 
-	 STRINGIFY(VERSION) "\n\t" STRINGIFY(HVERSION)
-	 "\n\tINTERNAL_PRECISION = " STRINGIFY(INTERNAL_PRECISION)
-	 "\tPRECISION = " STRINGIFY(PRECISION)
-	 "\n\n\tRational approximation of degree (%d,%d), %s at x = 0\n"
-	 "\tDelta = %g (maximum error)\n\n"
-	 "\tA = %g (overall factor)\n",
-	 (float) rdata -> epsilon, rdata -> n, type,
-	 rdata -> deg_num, rdata -> deg_denom,
-	 rdata -> type == 1 ? "infinite" : "zero",
-	 (float) rdata -> Delta, (float) rdata -> A);
-  for (m = 0; m < MIN(rdata -> dd, rdata -> dn); m++)
-    printf("\ta[%2d] = %14.8g\t\ta'[%2d] = %14.8g\n",
-	   m + 1, (float) rdata -> a[m], m + 1, (float) rdata -> ap[m]);
-  if (rdata -> dd > rdata -> dn)
-    printf("\t\t\t\t\ta'[%2d] = %14.8g\n",
-	   rdata -> dn + 1, (float) rdata -> ap[rdata -> dn]);
-  if (rdata -> dd < rdata -> dn)
-    printf("\ta[%2d] = %14.8g\n",
-	   rdata -> dd + 1, (float) rdata -> a[rdata -> dd]);
-
-  printf("\n\tPartial fraction coefficients\n");
-  printf("\talpha[ 0] = %14.8g\n",
-	 (float) rdata -> alpha[rdata -> da - 1]);
-  for (m = 0; m < rdata -> dd; m++)
-    printf("\talpha[%2d] = %14.8g\ta'[%2d] = %14.8g\n",
-	   m + 1, (float) rdata -> alpha[m], m + 1, (float) rdata -> ap[m]);
-  if (rdata -> type == 1)
-    printf("\talpha[%2d] = %14.8g\ta'[%2d] = %14.8g\n",
-	   rdata -> dd + 1, (float) rdata -> alpha[rdata -> dd],
-	   rdata -> dd + 1, (float) ZERO);
-
-  printf("\n\tContinued fraction coefficients\n");
-  for (m = 0; m < rdata -> db; m++)
-    printf("\tbeta[%2d] = %14.8g\n", m, (float) rdata -> beta[m]);
-
-  printf("\n\tCayley transform coefficients\n");
-  for (m = 0; m < rdata -> n; m++)
-    printf("\tgamma[%2d] = %14.8g\n", m, (float) rdata -> gamma[m]);
-
-#ifndef NPLOT
-  plot_function = fopen("zolotarev-fn.dat", "w");
-  plot_error = fopen("zolotarev-err.dat", "w");
-#ifdef ALLPLOTS
-  plot_partfrac = fopen("zolotarev-partfrac.dat", "w");
-  plot_contfrac = fopen("zolotarev-contfrac.dat", "w");
-  plot_cayley = fopen("zolotarev-cayley.dat", "w");
-#endif /* ALLPLOTS */
-  for (m = 0, maxypferr = maxycferr = maxycaylerr = 0.0; m <= plotpts; m++) {
-    x = 2.4 * (float) m / plotpts - 1.2;
-    if (rdata -> type == 0 || fabs(x) * (float) plotpts > 1.0) {
-      /* skip x = 0 for type 1, as R(0) is singular */
-      y = zolotarev_eval((PRECISION) x, rdata);
-      fprintf(plot_function, "%g %g\n", x, (float) y);
-      fprintf(plot_error, "%g %g\n",
-	      x, (float)((y - ((x > 0.0 ? ONE : -ONE))) / rdata -> Delta));
-      ypferr = (float)((zolotarev_partfrac_eval((PRECISION) x, rdata) - y)
-		       / rdata -> Delta);
-      ycferr = (float)((zolotarev_contfrac_eval((PRECISION) x, rdata) - y)
-		       / rdata -> Delta);
-      ycaylerr = (float)((zolotarev_cayley_eval((PRECISION) x, rdata) - y)
-		       / rdata -> Delta);
-      if (fabs(x) < 1.0 && fabs(x) > rdata -> epsilon) {
-	maxypferr = MAX(maxypferr, fabs(ypferr));
-	maxycferr = MAX(maxycferr, fabs(ycferr));
-	maxycaylerr = MAX(maxycaylerr, fabs(ycaylerr));
-      }
-#ifdef ALLPLOTS
-      fprintf(plot_partfrac, "%g %g\n", x, ypferr);
-      fprintf(plot_contfrac, "%g %g\n", x, ycferr);
-      fprintf(plot_cayley, "%g %g\n", x, ycaylerr);
-#endif /* ALLPLOTS */
-    }
-  }
-#ifdef ALLPLOTS
-  fclose(plot_cayley);
-  fclose(plot_contfrac);
-  fclose(plot_partfrac);
-#endif /* ALLPLOTS */
-  fclose(plot_error);
-  fclose(plot_function);
-
-  printf("\n\tMaximum PF error = %g (relative to Delta)\n", maxypferr);
-  printf("\tMaximum CF error = %g (relative to Delta)\n", maxycferr);
-  printf("\tMaximum Cayley error = %g (relative to Delta)\n", maxycaylerr);
-#endif /* NPLOT */
-
-  free(rdata -> a);
-  free(rdata -> ap);
-  free(rdata -> alpha);
-  free(rdata -> beta);
-  free(rdata -> gamma);
-  free(rdata);
-
-  return EXIT_SUCCESS;
-}
-
-#endif /* TEST */
-

Grid/algorithms/approx/Zolotarev.h

@@ -1,88 +0,0 @@
-/* -*- Mode: C; comment-column: 22; fill-column: 79; -*- */
-
-#ifdef __cplusplus
-#include <Grid/Namespace.h>
-NAMESPACE_BEGIN(Grid);
-NAMESPACE_BEGIN(Approx);
-#endif
-
-#define HVERSION Header Time-stamp: <14-OCT-2004 09:26:51.00 adk@MISSCONTRARY>
-
-#ifndef ZOLOTAREV_INTERNAL
-#ifndef PRECISION
-#define PRECISION double
-#endif
-#define ZPRECISION PRECISION
-#define ZOLOTAREV_DATA zolotarev_data
-#endif
-
-/* This struct contains the coefficients which parameterise an optimal rational
- * approximation to the signum function.
- *
- * The parameterisations used are:
- *
- * Factored form for type 0 (R0(0) = 0)
- *
- * R0(x) = A * x * prod(x^2 - a[j], j = 0 .. dn-1) / prod(x^2 - ap[j], j = 0
- * .. dd-1),
- *
- * where deg_num = 2*dn + 1 and deg_denom = 2*dd.
- *
- * Factored form for type 1 (R1(0) = infinity)
- *
- * R1(x) = (A / x) * prod(x^2 - a[j], j = 0 .. dn-1) / prod(x^2 - ap[j], j = 0
- * .. dd-1),
- *
- * where deg_num = 2*dn and deg_denom = 2*dd + 1. 
- *
- * Partial fraction form
- *
- * R(x) = alpha[da] * x + sum(alpha[j] * x / (x^2 - ap[j]), j = 0 .. da-1)
- *
- * where da = dd for type 0 and da = dd + 1 with ap[dd] = 0 for type 1.
- *
- * Continued fraction form 
- *
- * R(x) = beta[db-1] * x + 1 / (beta[db-2] * x + 1 / (beta[db-3] * x + ...))
- *
- * with the final coefficient being beta[0], with d' = 2 * dd + 1 for type 0
- * and db = 2 * dd + 2 for type 1.
- *
- * Cayley form (Chiu's domain wall formulation)
- *
- * R(x) = (1 - T(x)) / (1 + T(x))
- *
- * where T(x) = prod((x - gamma[j]) / (x + gamma[j]), j = 0 .. n-1)
- */
-
-typedef struct {
-  ZPRECISION *a,      /* zeros of numerator, a[0 .. dn-1] */
-    *ap,	      /* poles (zeros of denominator), ap[0 .. dd-1] */
-    A,		      /* overall factor */
-    *alpha,	      /* coefficients of partial fraction, alpha[0 .. da-1] */
-    *beta,	      /* coefficients of continued fraction, beta[0 .. db-1] */
-    *gamma,	      /* zeros of numerator of T in Cayley form */
-    Delta,	      /* maximum error, |R(x) - sgn(x)| <= Delta */
-    epsilon;	      /* minimum x value, epsilon < |x| < 1 */
-  int n,	      /* approximation degree */
-    type,	      /* 0: R(0) = 0, 1: R(0) = infinity */
-    dn, dd, da, db,   /* number of elements of a, ap, alpha, and beta */
-    deg_num,	      /* degree of numerator = deg_denom +/- 1 */
-    deg_denom;	      /* degree of denominator */
-} ZOLOTAREV_DATA;
-
-#ifndef ZOLOTAREV_INTERNAL
-
-/* zolotarev(epsilon, n, type) returns a pointer to an initialised
- * zolotarev_data structure. The arguments must satisfy the constraints that
- * epsilon > 0, n > 0, and type = 0 or 1. */
-
-ZOLOTAREV_DATA* higham(PRECISION epsilon, int n) ;
-ZOLOTAREV_DATA* zolotarev(PRECISION epsilon, int n, int type);
-void zolotarev_free(zolotarev_data *zdata);
-#endif
-
-#ifdef __cplusplus
-NAMESPACE_END(Approx);
-NAMESPACE_END(Grid);
-#endif

Grid/algorithms/approx/bigfloat.h

@@ -1,208 +0,0 @@
-/*
-  Mike Clark - 25th May 2005
-
-  bigfloat.h
-
-  Simple C++ wrapper for multiprecision datatype used by AlgRemez
-  algorithm
-*/
-
-#ifndef INCLUDED_BIGFLOAT_H
-#define INCLUDED_BIGFLOAT_H
-
-#define __GMP_WITHIN_CONFIGURE
-#include <gmp.h>
-#include <mpf2mpfr.h>
-#include <mpfr.h>
-#undef  __GMP_WITHIN_CONFIGURE
-
-class bigfloat {
-
-private:
-
-  mpf_t x;
-
-public:
-
-  bigfloat() { mpf_init(x); }
-  bigfloat(const bigfloat& y) { mpf_init_set(x, y.x); }
-  bigfloat(const unsigned long u) { mpf_init_set_ui(x, u); }
-  bigfloat(const long i) { mpf_init_set_si(x, i); }
-  bigfloat(const int i) {mpf_init_set_si(x,(long)i);}
-  bigfloat(const float d) { mpf_init_set_d(x, (double)d); }
-  bigfloat(const double d) { mpf_init_set_d(x, d); }  
-  bigfloat(const char *str) { mpf_init_set_str(x, (char*)str, 10); }
-  ~bigfloat(void) { mpf_clear(x); }
-  operator double (void) const { return (double)mpf_get_d(x); }
-  static void setDefaultPrecision(unsigned long dprec) {
-    unsigned long bprec =  (unsigned long)(3.321928094 * (double)dprec);
-    mpf_set_default_prec(bprec);
-  }
-
-  void setPrecision(unsigned long dprec) {
-    unsigned long bprec =  (unsigned long)(3.321928094 * (double)dprec);
-    mpf_set_prec(x,bprec);
-  }
-  
-  unsigned long getPrecision(void) const { return mpf_get_prec(x); }
-
-  unsigned long getDefaultPrecision(void) const { return mpf_get_default_prec(); }
-
-  bigfloat& operator=(const bigfloat& y) {
-    mpf_set(x, y.x); 
-    return *this;
-  }
-
-  bigfloat& operator=(const unsigned long y) { 
-    mpf_set_ui(x, y);
-    return *this; 
-  }
-  
-  bigfloat& operator=(const signed long y) {
-    mpf_set_si(x, y); 
-    return *this;
-  }
-  
-  bigfloat& operator=(const float y) {
-    mpf_set_d(x, (double)y); 
-    return *this;
-  }
-
-  bigfloat& operator=(const double y) {
-    mpf_set_d(x, y); 
-    return *this;
-  }
-
-  size_t write(void);
-  size_t read(void);
-
-  /* Arithmetic Functions */
-
-  bigfloat& operator+=(const bigfloat& y) { return *this = *this + y; }
-  bigfloat& operator-=(const bigfloat& y) { return *this = *this - y; }
-  bigfloat& operator*=(const bigfloat& y) { return *this = *this * y; }
-  bigfloat& operator/=(const bigfloat& y) { return *this = *this / y; }
-
-  friend bigfloat operator+(const bigfloat& x, const bigfloat& y) {
-    bigfloat a;
-    mpf_add(a.x,x.x,y.x);
-    return a;
-  }
-
-  friend bigfloat operator+(const bigfloat& x, const unsigned long y) {
-    bigfloat a;
-    mpf_add_ui(a.x,x.x,y);
-    return a;
-  }
-
-  friend bigfloat operator-(const bigfloat& x, const bigfloat& y) {
-    bigfloat a;
-    mpf_sub(a.x,x.x,y.x);
-    return a;
-  }
-  
-  friend bigfloat operator-(const unsigned long x, const bigfloat& y) {
-    bigfloat a;
-    mpf_ui_sub(a.x,x,y.x);
-    return a;
-  }
-  
-  friend bigfloat operator-(const bigfloat& x, const unsigned long y) {
-    bigfloat a;
-    mpf_sub_ui(a.x,x.x,y);
-    return a;
-  }
-
-  friend bigfloat operator-(const bigfloat& x) {
-    bigfloat a;
-    mpf_neg(a.x,x.x);
-    return a;
-  }
-
-  friend bigfloat operator*(const bigfloat& x, const bigfloat& y) {
-    bigfloat a;
-    mpf_mul(a.x,x.x,y.x);
-    return a;
-  }
-
-  friend bigfloat operator*(const bigfloat& x, const unsigned long y) {
-    bigfloat a;
-    mpf_mul_ui(a.x,x.x,y);
-    return a;
-  }
-
-  friend bigfloat operator/(const bigfloat& x, const bigfloat& y){
-    bigfloat a;
-    mpf_div(a.x,x.x,y.x);
-    return a;
-  }
-
-  friend bigfloat operator/(const unsigned long x, const bigfloat& y){
-    bigfloat a;
-    mpf_ui_div(a.x,x,y.x);
-    return a;
-  }
-
-  friend bigfloat operator/(const bigfloat& x, const unsigned long y){
-    bigfloat a;
-    mpf_div_ui(a.x,x.x,y);
-    return a;
-  }
-
-  friend bigfloat sqrt_bf(const bigfloat& x){
-    bigfloat a;
-    mpf_sqrt(a.x,x.x);
-    return a;
-  }
-
-  friend bigfloat sqrt_bf(const unsigned long x){
-    bigfloat a;
-    mpf_sqrt_ui(a.x,x);
-    return a;
-  }
-
-  friend bigfloat abs_bf(const bigfloat& x){
-    bigfloat a;
-    mpf_abs(a.x,x.x);
-    return a;
-  }
-
-  friend bigfloat pow_bf(const bigfloat& a, long power) {
-    bigfloat b;
-    mpf_pow_ui(b.x,a.x,power);
-    return b;
-  }
-
-  friend bigfloat pow_bf(const bigfloat& a, bigfloat &power) {
-    bigfloat b;
-    mpfr_pow(b.x,a.x,power.x,GMP_RNDN);
-    return b;
-  }
-
-  friend bigfloat exp_bf(const bigfloat& a) {
-    bigfloat b;
-    mpfr_exp(b.x,a.x,GMP_RNDN);
-    return b;
-  }
-
-  /* Comparison Functions */
-
-  friend int operator>(const bigfloat& x, const bigfloat& y) {
-    int test;
-    test = mpf_cmp(x.x,y.x);
-    if (test > 0) return 1;
-    else return 0;
-  }
-
-  friend int operator<(const bigfloat& x, const bigfloat& y) {
-    int test;
-    test = mpf_cmp(x.x,y.x);
-    if (test < 0) return 1;
-    else return 0;
-  }
-
-  friend int sgn(const bigfloat&);
-
-};
-
-#endif

Grid/algorithms/approx/bigfloat_double.h

@@ -1,195 +0,0 @@
-    /*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/approx/bigfloat_double.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-    *************************************************************************************/
-    /*  END LEGAL */
-
-#ifndef INCLUDED_BIGFLOAT_DOUBLE_H
-#define INCLUDED_BIGFLOAT_DOUBLE_H
-
-#include <math.h>
-
-typedef double mfloat; 
-class bigfloat {
-private:
-
-  mfloat x;
-
-public:
-
-  bigfloat() { }
-  bigfloat(const bigfloat& y) { x=y.x; }
-  bigfloat(const unsigned long u) { x=u; }
-  bigfloat(const long i) { x=i; }
-  bigfloat(const int i) { x=i;}
-  bigfloat(const float d) { x=d;}
-  bigfloat(const double d) {  x=d;}
-  bigfloat(const char *str) { x=std::stod(std::string(str));}
-  ~bigfloat(void) { }
-  operator double (void) const { return (double)x; }
-  static void setDefaultPrecision(unsigned long dprec) {
-  }
-
-  void setPrecision(unsigned long dprec) {
-  }
-  
-  unsigned long getPrecision(void) const { return 64; }
-  unsigned long getDefaultPrecision(void) const { return 64; }
-
-  bigfloat& operator=(const bigfloat& y)     { x=y.x;    return *this;  }
-  bigfloat& operator=(const unsigned long y) { x=y; return *this; }
-  bigfloat& operator=(const signed long y)   { x=y; return *this; }
-  bigfloat& operator=(const float y)    { x=y; return *this; }
-  bigfloat& operator=(const double y)   { x=y; return *this; }
-
-  size_t write(void);
-  size_t read(void);
-
-  /* Arithmetic Functions */
-
-  bigfloat& operator+=(const bigfloat& y) { return *this = *this + y; }
-  bigfloat& operator-=(const bigfloat& y) { return *this = *this - y; }
-  bigfloat& operator*=(const bigfloat& y) { return *this = *this * y; }
-  bigfloat& operator/=(const bigfloat& y) { return *this = *this / y; }
-
-  friend bigfloat operator+(const bigfloat& x, const bigfloat& y) { 
-    bigfloat a;
-    a.x=x.x+y.x;
-    return a;
-  }
-
-  friend bigfloat operator+(const bigfloat& x, const unsigned long y) {
-    bigfloat a;
-    a.x=x.x+y;
-    return a;
-  }
-
-  friend bigfloat operator-(const bigfloat& x, const bigfloat& y) {
-    bigfloat a;
-    a.x=x.x-y.x;
-    return a;
-  }
-  
-  friend bigfloat operator-(const unsigned long x, const bigfloat& y) {
-    bigfloat bx(x);
-    return bx-y;
-  }
-  
-  friend bigfloat operator-(const bigfloat& x, const unsigned long y) {
-    bigfloat by(y);
-    return x-by;
-  }
-
-  friend bigfloat operator-(const bigfloat& x) {
-    bigfloat a;
-    a.x=-x.x;
-    return a;
-  }
-
-  friend bigfloat operator*(const bigfloat& x, const bigfloat& y) {
-    bigfloat a;
-    a.x=x.x*y.x;
-    return a;
-  }
-
-  friend bigfloat operator*(const bigfloat& x, const unsigned long y) {
-    bigfloat a;
-    a.x=x.x*y;
-    return a;
-  }
-
-  friend bigfloat operator/(const bigfloat& x, const bigfloat& y){
-    bigfloat a;
-    a.x=x.x/y.x;
-    return a;
-  }
-
-  friend bigfloat operator/(const unsigned long x, const bigfloat& y){
-    bigfloat bx(x);
-    return bx/y;
-  }
-
-  friend bigfloat operator/(const bigfloat& x, const unsigned long y){
-    bigfloat by(y);
-    return x/by;
-  }
-
-  friend bigfloat sqrt_bf(const bigfloat& x){
-    bigfloat a;
-    a.x= sqrt(x.x);
-    return a;
-  }
-
-  friend bigfloat sqrt_bf(const unsigned long x){
-    bigfloat a(x);
-    return sqrt_bf(a);
-  }
-
-  friend bigfloat abs_bf(const bigfloat& x){
-    bigfloat a;
-    a.x=fabs(x.x);
-    return a;
-  }
-
-  friend bigfloat pow_bf(const bigfloat& a, long power) {
-    bigfloat b;
-    b.x=pow(a.x,power);
-    return b;
-  }
-
-  friend bigfloat pow_bf(const bigfloat& a, bigfloat &power) {
-    bigfloat b;
-    b.x=pow(a.x,power.x);
-    return b;
-  }
-
-  friend bigfloat exp_bf(const bigfloat& a) {
-    bigfloat b;
-    b.x=exp(a.x);
-    return b;
-  }
-
-  /* Comparison Functions */
-  friend int operator>(const bigfloat& x, const bigfloat& y) {
-    return x.x>y.x;
-  }
-
-  friend int operator<(const bigfloat& x, const bigfloat& y) {
-    return x.x<y.x;
-  }
-
-  friend int sgn(const bigfloat& x) {
-    if ( x.x>=0 )  return 1;   
-    else return 0;
-  }
-
-  /* Miscellaneous Functions */
-
-  //  friend bigfloat& random(void);
-};
-
-#endif
-
-

Grid/algorithms/iterative/AdefGeneric.h

@@ -1,397 +0,0 @@
-    /*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/iterative/AdefGeneric.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-    *************************************************************************************/
-    /*  END LEGAL */
-#ifndef GRID_ALGORITHMS_ITERATIVE_GENERIC_PCG
-#define GRID_ALGORITHMS_ITERATIVE_GENERIC_PCG
-
-  /*
-   * Compared to Tang-2009:  P=Pleft. P^T = PRight Q=MssInv. 
-   * Script A = SolverMatrix 
-   * Script P = Preconditioner
-   *
-   * Deflation methods considered
-   *      -- Solve P A x = P b        [ like Luscher ]
-   * DEF-1        M P A x = M P b     [i.e. left precon]
-   * DEF-2        P^T M A x = P^T M b
-   * ADEF-1       Preconditioner = M P + Q      [ Q + M + M A Q]
-   * ADEF-2       Preconditioner = P^T M + Q
-   * BNN          Preconditioner = P^T M P + Q
-   * BNN2         Preconditioner = M P + P^TM +Q - M P A M 
-   * 
-   * Implement ADEF-2
-   *
-   * Vstart = P^Tx + Qb
-   * M1 = P^TM + Q
-   * M2=M3=1
-   * Vout = x
-   */
-
-// abstract base
-template<class Field, class CoarseField>
-class TwoLevelFlexiblePcg : public LinearFunction<Field>
-{
- public:
-  int verbose;
-  RealD   Tolerance;
-  Integer MaxIterations;
-  const int mmax = 5;
-  GridBase *grid;
-  GridBase *coarsegrid;
-
-  LinearOperatorBase<Field>   *_Linop
-  OperatorFunction<Field>     *_Smoother,
-  LinearFunction<CoarseField> *_CoarseSolver;
-
-  // Need somthing that knows how to get from Coarse to fine and back again
-  
-  // more most opertor functions
-  TwoLevelFlexiblePcg(RealD tol,
-		     Integer maxit,
-		     LinearOperatorBase<Field> *Linop,
-		     LinearOperatorBase<Field> *SmootherLinop,
-		     OperatorFunction<Field>   *Smoother,
-		     OperatorFunction<CoarseField>  CoarseLinop
-		     ) : 
-      Tolerance(tol), 
-      MaxIterations(maxit),
-      _Linop(Linop),
-      _PreconditionerLinop(PrecLinop),
-      _Preconditioner(Preconditioner)
-  { 
-    verbose=0;
-  };
-
-  // The Pcg routine is common to all, but the various matrices differ from derived 
-  // implementation to derived implmentation
-  void operator() (const Field &src, Field &psi){
-  void operator() (const Field &src, Field &psi){
-
-    psi.Checkerboard() = src.Checkerboard();
-    grid             = src.Grid();
-
-    RealD f;
-    RealD rtzp,rtz,a,d,b;
-    RealD rptzp;
-    RealD tn;
-    RealD guess = norm2(psi);
-    RealD ssq   = norm2(src);
-    RealD rsq   = ssq*Tolerance*Tolerance;
-    
-    /////////////////////////////
-    // Set up history vectors
-    /////////////////////////////
-    std::vector<Field> p  (mmax,grid);
-    std::vector<Field> mmp(mmax,grid);
-    std::vector<RealD> pAp(mmax);
-
-    Field x  (grid); x = psi;
-    Field z  (grid);
-    Field tmp(grid);
-    Field r  (grid);
-    Field mu (grid);
-  
-    //////////////////////////
-    // x0 = Vstart -- possibly modify guess
-    //////////////////////////
-    x=src;
-    Vstart(x,src);
-
-    // r0 = b -A x0
-    HermOp(x,mmp); // Shouldn't this be something else?
-    axpy (r, -1.0,mmp[0], src);    // Recomputes r=src-Ax0
-
-    //////////////////////////////////
-    // Compute z = M1 x
-    //////////////////////////////////
-    M1(r,z,tmp,mp,SmootherMirs);
-    rtzp =real(innerProduct(r,z));
-
-    ///////////////////////////////////////
-    // Solve for Mss mu = P A z and set p = z-mu
-    // Def2: p = 1 - Q Az = Pright z 
-    // Other algos M2 is trivial
-    ///////////////////////////////////////
-    M2(z,p[0]);
-
-    for (int k=0;k<=MaxIterations;k++){
-    
-      int peri_k  = k % mmax;
-      int peri_kp = (k+1) % mmax;
-
-      rtz=rtzp;
-      d= M3(p[peri_k],mp,mmp[peri_k],tmp);
-      a = rtz/d;
-    
-      // Memorise this
-      pAp[peri_k] = d;
-
-      axpy(x,a,p[peri_k],x);
-      RealD rn = axpy_norm(r,-a,mmp[peri_k],r);
-
-      // Compute z = M x
-      M1(r,z,tmp,mp);
-
-      rtzp =real(innerProduct(r,z));
-
-      M2(z,mu); // ADEF-2 this is identity. Axpy possible to eliminate
-
-      p[peri_kp]=p[peri_k];
-
-      // Standard search direction  p -> z + b p    ; b = 
-      b = (rtzp)/rtz;
-
-      int northog;
-      //    northog     = (peri_kp==0)?1:peri_kp; // This is the fCG(mmax) algorithm
-      northog     = (k>mmax-1)?(mmax-1):k;        // This is the fCG-Tr(mmax-1) algorithm
-    
-      for(int back=0; back < northog; back++){
-	int peri_back = (k-back)%mmax;
-	RealD pbApk= real(innerProduct(mmp[peri_back],p[peri_kp]));
-	RealD beta = -pbApk/pAp[peri_back];
-	axpy(p[peri_kp],beta,p[peri_back],p[peri_kp]);
-      }
-
-      RealD rrn=sqrt(rn/ssq);
-      std::cout<<GridLogMessage<<"TwoLevelfPcg: k= "<<k<<" residual = "<<rrn<<std::endl;
-
-      // Stopping condition
-      if ( rn <= rsq ) { 
-
-	HermOp(x,mmp); // Shouldn't this be something else?
-	axpy(tmp,-1.0,src,mmp[0]);
-	
-	RealD psinorm = sqrt(norm2(x));
-	RealD srcnorm = sqrt(norm2(src));
-	RealD tmpnorm = sqrt(norm2(tmp));
-	RealD true_residual = tmpnorm/srcnorm;
-	std::cout<<GridLogMessage<<"TwoLevelfPcg:   true residual is "<<true_residual<<std::endl;
-	std::cout<<GridLogMessage<<"TwoLevelfPcg: target residual was"<<Tolerance<<std::endl;
-	return k;
-      }
-    }
-    // Non-convergence
-    assert(0);
-  }
-
- public:
-
-  virtual void M(Field & in,Field & out,Field & tmp) {
-
-  }
-
-  virtual void M1(Field & in, Field & out) {// the smoother
-
-    // [PTM+Q] in = [1 - Q A] M in + Q in = Min + Q [ in -A Min]
-    Field tmp(grid);
-    Field Min(grid);
-
-    PcgM(in,Min); // Smoother call
-
-    HermOp(Min,out);
-    axpy(tmp,-1.0,out,in);          // tmp  = in - A Min
-
-    ProjectToSubspace(tmp,PleftProj);     
-    ApplyInverse(PleftProj,PleftMss_proj); // Ass^{-1} [in - A Min]_s
-    PromoteFromSubspace(PleftMss_proj,tmp);// tmp = Q[in - A Min]  
-    axpy(out,1.0,Min,tmp); // Min+tmp
-  }
-
-  virtual void M2(const Field & in, Field & out) {
-    out=in;
-    // Must override for Def2 only
-    //  case PcgDef2:
-    //    Pright(in,out);
-    //    break;
-  }
-
-  virtual RealD M3(const Field & p, Field & mmp){
-    double d,dd;
-    HermOpAndNorm(p,mmp,d,dd);
-    return dd;
-    // Must override for Def1 only
-    //  case PcgDef1:
-    //    d=linop_d->Mprec(p,mmp,tmp,0,1);// Dag no
-    //      linop_d->Mprec(mmp,mp,tmp,1);// Dag yes
-    //    Pleft(mp,mmp);
-    //    d=real(linop_d->inner(p,mmp));
-  }
-
-  virtual void VstartDef2(Field & xconst Field & src){
-    //case PcgDef2:
-    //case PcgAdef2: 
-    //case PcgAdef2f:
-    //case PcgV11f:
-    ///////////////////////////////////
-    // Choose x_0 such that 
-    // x_0 = guess +  (A_ss^inv) r_s = guess + Ass_inv [src -Aguess]
-    //                               = [1 - Ass_inv A] Guess + Assinv src
-    //                               = P^T guess + Assinv src 
-    //                               = Vstart  [Tang notation]
-    // This gives:
-    // W^T (src - A x_0) = src_s - A guess_s - r_s
-    //                   = src_s - (A guess)_s - src_s  + (A guess)_s 
-    //                   = 0 
-    ///////////////////////////////////
-    Field r(grid);
-    Field mmp(grid);
-    
-    HermOp(x,mmp);
-    axpy (r, -1.0, mmp, src);        // r_{-1} = src - A x
-    ProjectToSubspace(r,PleftProj);     
-    ApplyInverseCG(PleftProj,PleftMss_proj); // Ass^{-1} r_s
-    PromoteFromSubspace(PleftMss_proj,mmp);  
-    x=x+mmp;
-
-  }
-
-  virtual void Vstart(Field & x,const Field & src){
-    return;
-  }
-
-  /////////////////////////////////////////////////////////////////////
-  // Only Def1 has non-trivial Vout. Override in Def1
-  /////////////////////////////////////////////////////////////////////
-  virtual void   Vout  (Field & in, Field & out,Field & src){
-    out = in;
-    //case PcgDef1:
-    //    //Qb + PT x
-    //    ProjectToSubspace(src,PleftProj);     
-    //    ApplyInverse(PleftProj,PleftMss_proj); // Ass^{-1} r_s
-    //    PromoteFromSubspace(PleftMss_proj,tmp);  
-    //    
-    //    Pright(in,out);
-    //    
-    //    linop_d->axpy(out,tmp,out,1.0);
-    //    break;
-  }
-
-  ////////////////////////////////////////////////////////////////////////////////////////////////
-  // Pright and Pleft are common to all implementations
-  ////////////////////////////////////////////////////////////////////////////////////////////////
-  virtual void Pright(Field & in,Field & out){
-    // P_R  = [ 1              0 ] 
-    //        [ -Mss^-1 Msb    0 ] 
-    Field in_sbar(grid);
-
-    ProjectToSubspace(in,PleftProj);     
-    PromoteFromSubspace(PleftProj,out);  
-    axpy(in_sbar,-1.0,out,in);       // in_sbar = in - in_s 
-
-    HermOp(in_sbar,out);
-    ProjectToSubspace(out,PleftProj);           // Mssbar in_sbar  (project)
-
-    ApplyInverse     (PleftProj,PleftMss_proj); // Mss^{-1} Mssbar 
-    PromoteFromSubspace(PleftMss_proj,out);     // 
-
-    axpy(out,-1.0,out,in_sbar);     // in_sbar - Mss^{-1} Mssbar in_sbar
-  }
-  virtual void Pleft (Field & in,Field & out){
-    // P_L  = [ 1  -Mbs Mss^-1] 
-    //        [ 0   0         ] 
-    Field in_sbar(grid);
-    Field    tmp2(grid);
-    Field    Mtmp(grid);
-
-    ProjectToSubspace(in,PleftProj);     
-    PromoteFromSubspace(PleftProj,out);  
-    axpy(in_sbar,-1.0,out,in);      // in_sbar = in - in_s
-
-    ApplyInverse(PleftProj,PleftMss_proj); // Mss^{-1} in_s
-    PromoteFromSubspace(PleftMss_proj,out);
-
-    HermOp(out,Mtmp);
-
-    ProjectToSubspace(Mtmp,PleftProj);      // Msbar s Mss^{-1}
-    PromoteFromSubspace(PleftProj,tmp2);
-
-    axpy(out,-1.0,tmp2,Mtmp);
-    axpy(out,-1.0,out,in_sbar);     // in_sbar - Msbars Mss^{-1} in_s
-  }
-}
-
-template<class Field>
-class TwoLevelFlexiblePcgADef2 : public TwoLevelFlexiblePcg<Field> {
- public:
-  virtual void M(Field & in,Field & out,Field & tmp){
-
-  } 
-  virtual void M1(Field & in, Field & out,Field & tmp,Field & mp){
-
-  }
-  virtual void M2(Field & in, Field & out){
-
-  }
-  virtual RealD M3(Field & p, Field & mp,Field & mmp, Field & tmp){
-
-  }
-  virtual void Vstart(Field & in, Field & src, Field & r, Field & mp, Field & mmp, Field & tmp){
-
-  }
-}
-/*
-template<class Field>
-class TwoLevelFlexiblePcgAD : public TwoLevelFlexiblePcg<Field> {
- public:
-  virtual void M(Field & in,Field & out,Field & tmp); 
-  virtual void M1(Field & in, Field & out,Field & tmp,Field & mp);
-  virtual void M2(Field & in, Field & out);
-  virtual RealD M3(Field & p, Field & mp,Field & mmp, Field & tmp);
-  virtual void Vstart(Field & in, Field & src, Field & r, Field & mp, Field & mmp, Field & tmp);
-}
-
-template<class Field>
-class TwoLevelFlexiblePcgDef1 : public TwoLevelFlexiblePcg<Field> {
- public:
-  virtual void M(Field & in,Field & out,Field & tmp); 
-  virtual void M1(Field & in, Field & out,Field & tmp,Field & mp);
-  virtual void M2(Field & in, Field & out);
-  virtual RealD M3(Field & p, Field & mp,Field & mmp, Field & tmp);
-  virtual void Vstart(Field & in, Field & src, Field & r, Field & mp, Field & mmp, Field & tmp);
-  virtual void   Vout  (Field & in, Field & out,Field & src,Field & tmp);
-}
-
-template<class Field>
-class TwoLevelFlexiblePcgDef2 : public TwoLevelFlexiblePcg<Field> {
- public:
-  virtual void M(Field & in,Field & out,Field & tmp); 
-  virtual void M1(Field & in, Field & out,Field & tmp,Field & mp);
-  virtual void M2(Field & in, Field & out);
-  virtual RealD M3(Field & p, Field & mp,Field & mmp, Field & tmp);
-  virtual void Vstart(Field & in, Field & src, Field & r, Field & mp, Field & mmp, Field & tmp);
-}
-
-template<class Field>
-class TwoLevelFlexiblePcgV11: public TwoLevelFlexiblePcg<Field> {
- public:
-  virtual void M(Field & in,Field & out,Field & tmp); 
-  virtual void M1(Field & in, Field & out,Field & tmp,Field & mp);
-  virtual void M2(Field & in, Field & out);
-  virtual RealD M3(Field & p, Field & mp,Field & mmp, Field & tmp);
-  virtual void Vstart(Field & in, Field & src, Field & r, Field & mp, Field & mmp, Field & tmp);
-}
-*/
-#endif

Grid/algorithms/iterative/BiCGSTAB.h

@@ -1,234 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/algorithms/iterative/BiCGSTAB.h
-
-Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-Author: paboyle <paboyle@ph.ed.ac.uk>
-Author: juettner <juettner@soton.ac.uk>
-Author: David Murphy <djmurphy@mit.edu>
-
-This program is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2 of the License, or
-(at your option) any later version.
-
-This program is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-GNU General Public License for more details.
-
-You should have received a copy of the GNU General Public License along
-with this program; if not, write to the Free Software Foundation, Inc.,
-51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-See the full license in the file "LICENSE" in the top level distribution
-directory
-*************************************************************************************/
-/*  END LEGAL */
-
-#ifndef GRID_BICGSTAB_H
-#define GRID_BICGSTAB_H
-
-NAMESPACE_BEGIN(Grid);
-
-/////////////////////////////////////////////////////////////
-// Base classes for iterative processes based on operators
-// single input vec, single output vec.
-/////////////////////////////////////////////////////////////
-
-template <class Field>
-class BiCGSTAB : public OperatorFunction<Field> 
-{
-  public:
-    using OperatorFunction<Field>::operator();
-    
-    bool ErrorOnNoConverge;  // throw an assert when the CG fails to converge.
-                             // Defaults true.
-    RealD Tolerance;
-    Integer MaxIterations;
-    Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion
-  
-    BiCGSTAB(RealD tol, Integer maxit, bool err_on_no_conv = true) : 
-      Tolerance(tol), MaxIterations(maxit), ErrorOnNoConverge(err_on_no_conv){};
-
-    void operator()(LinearOperatorBase<Field>& Linop, const Field& src, Field& psi) 
-    {
-      psi.Checkerboard() = src.Checkerboard();
-      conformable(psi, src);
-
-      RealD cp(0), rho(1), rho_prev(0), alpha(1), beta(0), omega(1);
-      RealD a(0), bo(0), b(0), ssq(0);
-
-      Field p(src);
-      Field r(src);
-      Field rhat(src);
-      Field v(src);
-      Field s(src);
-      Field t(src);
-      Field h(src);
-
-      v = Zero();
-      p = Zero();
-
-      // Initial residual computation & set up
-      RealD guess = norm2(psi);
-      assert(std::isnan(guess) == 0);
-    
-      Linop.Op(psi, v);
-      b = norm2(v);
-
-      r = src - v;
-      rhat = r;
-      a = norm2(r);
-      ssq = norm2(src);
-
-      std::cout << GridLogIterative << std::setprecision(8) << "BiCGSTAB: guess " << guess << std::endl;
-      std::cout << GridLogIterative << std::setprecision(8) << "BiCGSTAB:   src " << ssq << std::endl;
-      std::cout << GridLogIterative << std::setprecision(8) << "BiCGSTAB:    mp " << b << std::endl;
-      std::cout << GridLogIterative << std::setprecision(8) << "BiCGSTAB:     r " << a << std::endl;
-
-      RealD rsq = Tolerance * Tolerance * ssq;
-
-      // Check if guess is really REALLY good :)
-      if(a <= rsq){ return; }
-
-      std::cout << GridLogIterative << std::setprecision(8) << "BiCGSTAB: k=0 residual " << a << " target " << rsq << std::endl;
-
-      GridStopWatch LinalgTimer;
-      GridStopWatch InnerTimer;
-      GridStopWatch AxpyNormTimer;
-      GridStopWatch LinearCombTimer;
-      GridStopWatch MatrixTimer;
-      GridStopWatch SolverTimer;
-
-      SolverTimer.Start();
-      int k;
-      for (k = 1; k <= MaxIterations; k++) 
-      {
-        rho_prev = rho;
-
-        LinalgTimer.Start();
-        InnerTimer.Start();
-        ComplexD Crho  = innerProduct(rhat,r);
-        InnerTimer.Stop();
-        rho = Crho.real();
-
-        beta = (rho / rho_prev) * (alpha / omega);
-
-        LinearCombTimer.Start();
-        bo = beta * omega;
-	{
-	  autoView( p_v , p, AcceleratorWrite);
-	  autoView( r_v , r, AcceleratorRead);
-	  autoView( v_v , v, AcceleratorRead);
-	  accelerator_for(ss, p_v.size(), Field::vector_object::Nsimd(),{
-	      coalescedWrite(p_v[ss], beta*p_v(ss) - bo*v_v(ss) + r_v(ss));
-	    });
-	}
-        LinearCombTimer.Stop();
-        LinalgTimer.Stop();
-
-        MatrixTimer.Start();
-        Linop.Op(p,v);
-        MatrixTimer.Stop();
-
-        LinalgTimer.Start();
-        InnerTimer.Start();
-        ComplexD Calpha = innerProduct(rhat,v);
-        InnerTimer.Stop();
-        alpha = rho / Calpha.real();
-
-        LinearCombTimer.Start();
-	{
-	  autoView( p_v , p, AcceleratorRead);
-	  autoView( r_v , r, AcceleratorRead);
-	  autoView( v_v , v, AcceleratorRead);
-	  autoView( psi_v,psi, AcceleratorRead);
-	  autoView( h_v  ,  h, AcceleratorWrite);
-	  autoView( s_v  ,  s, AcceleratorWrite);
-	  accelerator_for(ss, h_v.size(), Field::vector_object::Nsimd(),{
-	      coalescedWrite(h_v[ss], alpha*p_v(ss) + psi_v(ss));
-	    });
-	  accelerator_for(ss, s_v.size(), Field::vector_object::Nsimd(),{
-	      coalescedWrite(s_v[ss], -alpha*v_v(ss) + r_v(ss));
- 	  });
-        }
-        LinearCombTimer.Stop();
-        LinalgTimer.Stop();
-
-        MatrixTimer.Start();
-        Linop.Op(s,t);
-        MatrixTimer.Stop();
-
-        LinalgTimer.Start();
-        InnerTimer.Start();
-        ComplexD Comega = innerProduct(t,s);
-        InnerTimer.Stop();
-        omega = Comega.real() / norm2(t);
-
-        LinearCombTimer.Start();
-	{
-	  autoView( psi_v,psi, AcceleratorWrite);
-	  autoView( r_v , r, AcceleratorWrite);
-	  autoView( h_v , h, AcceleratorRead);
-	  autoView( s_v , s, AcceleratorRead);
-	  autoView( t_v , t, AcceleratorRead);
-	  accelerator_for(ss, psi_v.size(), Field::vector_object::Nsimd(),{
-	      coalescedWrite(psi_v[ss], h_v(ss) + omega * s_v(ss));
-	      coalescedWrite(r_v[ss], -omega * t_v(ss) + s_v(ss));
-	    });
-	}
-        LinearCombTimer.Stop();
-	
-        cp = norm2(r);
-        LinalgTimer.Stop();
-
-        std::cout << GridLogIterative << "BiCGSTAB: Iteration " << k << " residual " << sqrt(cp/ssq) << " target " << Tolerance << std::endl;
-
-        // Stopping condition
-        if(cp <= rsq) 
-        {
-          SolverTimer.Stop();
-          Linop.Op(psi, v);
-          p = v - src;
-
-          RealD srcnorm = sqrt(norm2(src));
-          RealD resnorm = sqrt(norm2(p));
-          RealD true_residual = resnorm / srcnorm;
-
-          std::cout << GridLogMessage << "BiCGSTAB Converged on iteration " << k << std::endl;
-          std::cout << GridLogMessage << "\tComputed residual " << sqrt(cp/ssq) << std::endl;
-          std::cout << GridLogMessage << "\tTrue residual " << true_residual << std::endl;
-          std::cout << GridLogMessage << "\tTarget " << Tolerance << std::endl;
-
-          std::cout << GridLogMessage << "Time breakdown " << std::endl;
-          std::cout << GridLogMessage << "\tElapsed    " << SolverTimer.Elapsed() << std::endl;
-          std::cout << GridLogMessage << "\tMatrix     " << MatrixTimer.Elapsed() << std::endl;
-          std::cout << GridLogMessage << "\tLinalg     " << LinalgTimer.Elapsed() << std::endl;
-          std::cout << GridLogMessage << "\tInner      " << InnerTimer.Elapsed() << std::endl;
-          std::cout << GridLogMessage << "\tAxpyNorm   " << AxpyNormTimer.Elapsed() << std::endl;
-          std::cout << GridLogMessage << "\tLinearComb " << LinearCombTimer.Elapsed() << std::endl;
-
-          if(ErrorOnNoConverge){ assert(true_residual / Tolerance < 10000.0); }
-
-          IterationsToComplete = k;	
-
-          return;
-        }
-      }
-      
-      std::cout << GridLogMessage << "BiCGSTAB did NOT converge" << std::endl;
-
-      if(ErrorOnNoConverge){ assert(0); }
-      IterationsToComplete = k;
-    }
-};
-
-NAMESPACE_END(Grid);
-
-#endif

Grid/algorithms/iterative/BiCGSTABMixedPrec.h

@@ -1,158 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid 
-
-Source file: ./lib/algorithms/iterative/BiCGSTABMixedPrec.h
-
-Copyright (C) 2015
-
-Author: Christopher Kelly <ckelly@phys.columbia.edu>
-Author: David Murphy <djmurphy@mit.edu>
-
-This program is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2 of the License, or
-(at your option) any later version.
-
-This program is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-GNU General Public License for more details.
-
-You should have received a copy of the GNU General Public License along
-with this program; if not, write to the Free Software Foundation, Inc.,
-51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-
-#ifndef GRID_BICGSTAB_MIXED_PREC_H
-#define GRID_BICGSTAB_MIXED_PREC_H
-
-NAMESPACE_BEGIN(Grid);
-
-// Mixed precision restarted defect correction BiCGSTAB
-template<class FieldD, class FieldF, typename std::enable_if< getPrecision<FieldD>::value == 2, int>::type = 0, typename std::enable_if< getPrecision<FieldF>::value == 1, int>::type = 0> 
-class MixedPrecisionBiCGSTAB : public LinearFunction<FieldD> 
-{
-  public:                                                
-    RealD   Tolerance;
-    RealD   InnerTolerance; // Initial tolerance for inner CG. Defaults to Tolerance but can be changed
-    Integer MaxInnerIterations;
-    Integer MaxOuterIterations;
-    GridBase* SinglePrecGrid; // Grid for single-precision fields
-    RealD OuterLoopNormMult; // Stop the outer loop and move to a final double prec solve when the residual is OuterLoopNormMult * Tolerance
-    LinearOperatorBase<FieldF> &Linop_f;
-    LinearOperatorBase<FieldD> &Linop_d;
-
-    Integer TotalInnerIterations; //Number of inner CG iterations
-    Integer TotalOuterIterations; //Number of restarts
-    Integer TotalFinalStepIterations; //Number of CG iterations in final patch-up step
-
-    //Option to speed up *inner single precision* solves using a LinearFunction that produces a guess
-    LinearFunction<FieldF> *guesser;
-    
-    MixedPrecisionBiCGSTAB(RealD tol, Integer maxinnerit, Integer maxouterit, GridBase* _sp_grid, 
-        LinearOperatorBase<FieldF>& _Linop_f, LinearOperatorBase<FieldD>& _Linop_d) : 
-      Linop_f(_Linop_f), Linop_d(_Linop_d), Tolerance(tol), InnerTolerance(tol), MaxInnerIterations(maxinnerit), 
-      MaxOuterIterations(maxouterit), SinglePrecGrid(_sp_grid), OuterLoopNormMult(100.), guesser(NULL) {};
-
-    void useGuesser(LinearFunction<FieldF>& g){
-      guesser = &g;
-    }
-  
-    void operator() (const FieldD& src_d_in, FieldD& sol_d)
-    {
-      TotalInnerIterations = 0;
-    
-      GridStopWatch TotalTimer;
-      TotalTimer.Start();
-      
-      int cb = src_d_in.Checkerboard();
-      sol_d.Checkerboard() = cb;
-      
-      RealD src_norm = norm2(src_d_in);
-      RealD stop = src_norm * Tolerance*Tolerance;
-
-      GridBase* DoublePrecGrid = src_d_in.Grid();
-      FieldD tmp_d(DoublePrecGrid);
-      tmp_d.Checkerboard() = cb;
-      
-      FieldD tmp2_d(DoublePrecGrid);
-      tmp2_d.Checkerboard() = cb;
-      
-      FieldD src_d(DoublePrecGrid);
-      src_d = src_d_in; //source for next inner iteration, computed from residual during operation
-      
-      RealD inner_tol = InnerTolerance;
-      
-      FieldF src_f(SinglePrecGrid);
-      src_f.Checkerboard() = cb;
-      
-      FieldF sol_f(SinglePrecGrid);
-      sol_f.Checkerboard() = cb;
-      
-      BiCGSTAB<FieldF> CG_f(inner_tol, MaxInnerIterations);
-      CG_f.ErrorOnNoConverge = false;
-
-      GridStopWatch InnerCGtimer;
-
-      GridStopWatch PrecChangeTimer;
-      
-      Integer &outer_iter = TotalOuterIterations; //so it will be equal to the final iteration count
-        
-      for(outer_iter = 0; outer_iter < MaxOuterIterations; outer_iter++)
-      {
-        // Compute double precision rsd and also new RHS vector.
-        Linop_d.Op(sol_d, tmp_d);
-        RealD norm = axpy_norm(src_d, -1., tmp_d, src_d_in); //src_d is residual vector
-        
-        std::cout << GridLogMessage << "MixedPrecisionBiCGSTAB: Outer iteration " << outer_iter << " residual " << norm << " target " << stop << std::endl;
-
-        if(norm < OuterLoopNormMult * stop){
-          std::cout << GridLogMessage << "MixedPrecisionBiCGSTAB: Outer iteration converged on iteration " << outer_iter << std::endl;
-          break;
-        }
-        while(norm * inner_tol * inner_tol < stop){ inner_tol *= 2; } // inner_tol = sqrt(stop/norm) ??
-
-        PrecChangeTimer.Start();
-        precisionChange(src_f, src_d);
-        PrecChangeTimer.Stop();
-        
-        sol_f = Zero();
-
-        //Optionally improve inner solver guess (eg using known eigenvectors)
-        if(guesser != NULL){ (*guesser)(src_f, sol_f); }
-
-        //Inner CG
-        CG_f.Tolerance = inner_tol;
-        InnerCGtimer.Start();
-        CG_f(Linop_f, src_f, sol_f);
-        InnerCGtimer.Stop();
-        TotalInnerIterations += CG_f.IterationsToComplete;
-        
-        //Convert sol back to double and add to double prec solution
-        PrecChangeTimer.Start();
-        precisionChange(tmp_d, sol_f);
-        PrecChangeTimer.Stop();
-        
-        axpy(sol_d, 1.0, tmp_d, sol_d);
-      }
-      
-      //Final trial CG
-      std::cout << GridLogMessage << "MixedPrecisionBiCGSTAB: Starting final patch-up double-precision solve" << std::endl;
-      
-      BiCGSTAB<FieldD> CG_d(Tolerance, MaxInnerIterations);
-      CG_d(Linop_d, src_d_in, sol_d);
-      TotalFinalStepIterations = CG_d.IterationsToComplete;
-
-      TotalTimer.Stop();
-      std::cout << GridLogMessage << "MixedPrecisionBiCGSTAB: Inner CG iterations " << TotalInnerIterations << " Restarts " << TotalOuterIterations << " Final CG iterations " << TotalFinalStepIterations << std::endl;
-      std::cout << GridLogMessage << "MixedPrecisionBiCGSTAB: Total time " << TotalTimer.Elapsed() << " Precision change " << PrecChangeTimer.Elapsed() << " Inner CG total " << InnerCGtimer.Elapsed() << std::endl;
-  }
-};
-
-NAMESPACE_END(Grid);
-
-#endif

Grid/algorithms/iterative/BlockConjugateGradient.h

@@ -1,698 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/algorithms/iterative/BlockConjugateGradient.h
-
-Copyright (C) 2017
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-This program is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2 of the License, or
-(at your option) any later version.
-
-This program is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-GNU General Public License for more details.
-
-You should have received a copy of the GNU General Public License along
-with this program; if not, write to the Free Software Foundation, Inc.,
-51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-See the full license in the file "LICENSE" in the top level distribution
-directory
-*************************************************************************************/
-/*  END LEGAL */
-#pragma once
-
-NAMESPACE_BEGIN(Grid);
-
-enum BlockCGtype { BlockCG, BlockCGrQ, CGmultiRHS, BlockCGVec, BlockCGrQVec };
-
-//////////////////////////////////////////////////////////////////////////
-// Block conjugate gradient. Dimension zero should be the block direction
-//////////////////////////////////////////////////////////////////////////
-template <class Field>
-class BlockConjugateGradient : public OperatorFunction<Field> {
- public:
-
-  typedef typename Field::scalar_type scomplex;
-
-  int blockDim ;
-  int Nblock;
-
-  BlockCGtype CGtype;
-  bool ErrorOnNoConverge;  // throw an assert when the CG fails to converge.
-                           // Defaults true.
-  RealD Tolerance;
-  Integer MaxIterations;
-  Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion
-  Integer PrintInterval; //GridLogMessages or Iterative
-  RealD TrueResidual;
-  
-  BlockConjugateGradient(BlockCGtype cgtype,int _Orthog,RealD tol, Integer maxit, bool err_on_no_conv = true)
-    : Tolerance(tol), CGtype(cgtype),   blockDim(_Orthog),  MaxIterations(maxit), ErrorOnNoConverge(err_on_no_conv),PrintInterval(100)
-  {};
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-// Thin QR factorisation (google it)
-////////////////////////////////////////////////////////////////////////////////////////////////////
-  ////////////////////////////////////////////////////////////////////////////////////////////////////
-  //Dimensions
-  // R_{ferm x Nblock} =  Q_{ferm x Nblock} x  C_{Nblock x Nblock} -> ferm x Nblock
-  //
-  // Rdag R = m_rr = Herm = L L^dag        <-- Cholesky decomposition (LLT routine in Eigen)
-  //
-  //   Q  C = R => Q = R C^{-1}
-  //
-  // Want  Ident = Q^dag Q = C^{-dag} R^dag R C^{-1} = C^{-dag} L L^dag C^{-1} = 1_{Nblock x Nblock} 
-  //
-  // Set C = L^{dag}, and then Q^dag Q = ident 
-  //
-  // Checks:
-  // Cdag C = Rdag R ; passes.
-  // QdagQ  = 1      ; passes
-  ////////////////////////////////////////////////////////////////////////////////////////////////////
-void ThinQRfact (Eigen::MatrixXcd &m_rr,
-		 Eigen::MatrixXcd &C,
-		 Eigen::MatrixXcd &Cinv,
-		 Field & Q,
-		 const Field & R)
-{
-  int Orthog = blockDim; // First dimension is block dim; this is an assumption
-  sliceInnerProductMatrix(m_rr,R,R,Orthog);
-
-  // Force manifest hermitian to avoid rounding related
-  m_rr = 0.5*(m_rr+m_rr.adjoint());
-
-  Eigen::MatrixXcd L    = m_rr.llt().matrixL(); 
-
-  C    = L.adjoint();
-  Cinv = C.inverse();
-  ////////////////////////////////////////////////////////////////////////////////////////////////////
-  // Q = R C^{-1}
-  //
-  // Q_j  = R_i Cinv(i,j) 
-  //
-  // NB maddMatrix conventions are Right multiplication X[j] a[j,i] already
-  ////////////////////////////////////////////////////////////////////////////////////////////////////
-  sliceMulMatrix(Q,Cinv,R,Orthog);
-}
-// see comments above
-void ThinQRfact (Eigen::MatrixXcd &m_rr,
-		 Eigen::MatrixXcd &C,
-		 Eigen::MatrixXcd &Cinv,
-		 std::vector<Field> & Q,
-		 const std::vector<Field> & R)
-{
-  InnerProductMatrix(m_rr,R,R);
-
-  m_rr = 0.5*(m_rr+m_rr.adjoint());
-
-  Eigen::MatrixXcd L    = m_rr.llt().matrixL(); 
-
-  C    = L.adjoint();
-  Cinv = C.inverse();
-
-  MulMatrix(Q,Cinv,R);
-}
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-// Call one of several implementations
-////////////////////////////////////////////////////////////////////////////////////////////////////
-void operator()(LinearOperatorBase<Field> &Linop, const Field &Src, Field &Psi) 
-{
-  if ( CGtype == BlockCGrQ ) {
-    BlockCGrQsolve(Linop,Src,Psi);
-  } else if (CGtype == CGmultiRHS ) {
-    CGmultiRHSsolve(Linop,Src,Psi);
-  } else {
-    assert(0);
-  }
-}
-virtual void operator()(LinearOperatorBase<Field> &Linop, const std::vector<Field> &Src, std::vector<Field> &Psi) 
-{
-  if ( CGtype == BlockCGrQVec ) {
-    BlockCGrQsolveVec(Linop,Src,Psi);
-  } else {
-    assert(0);
-  }
-}
-
-////////////////////////////////////////////////////////////////////////////
-// BlockCGrQ implementation:
-//--------------------------
-// X is guess/Solution
-// B is RHS
-// Solve A X_i = B_i    ;        i refers to Nblock index
-////////////////////////////////////////////////////////////////////////////
-void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X) 
-{
-  int Orthog = blockDim; // First dimension is block dim; this is an assumption
-  Nblock = B.Grid()->_fdimensions[Orthog];
-/* FAKE */
-  Nblock=8;
-  std::cout<<GridLogMessage<<" Block Conjugate Gradient : Orthog "<<Orthog<<" Nblock "<<Nblock<<std::endl;
-
-  X.Checkerboard() = B.Checkerboard();
-  conformable(X, B);
-
-  Field tmp(B);
-  Field Q(B);
-  Field D(B);
-  Field Z(B);
-  Field AD(B);
-
-  Eigen::MatrixXcd m_DZ     = Eigen::MatrixXcd::Identity(Nblock,Nblock);
-  Eigen::MatrixXcd m_M      = Eigen::MatrixXcd::Identity(Nblock,Nblock);
-  Eigen::MatrixXcd m_rr     = Eigen::MatrixXcd::Zero(Nblock,Nblock);
-
-  Eigen::MatrixXcd m_C      = Eigen::MatrixXcd::Zero(Nblock,Nblock);
-  Eigen::MatrixXcd m_Cinv   = Eigen::MatrixXcd::Zero(Nblock,Nblock);
-  Eigen::MatrixXcd m_S      = Eigen::MatrixXcd::Zero(Nblock,Nblock);
-  Eigen::MatrixXcd m_Sinv   = Eigen::MatrixXcd::Zero(Nblock,Nblock);
-
-  Eigen::MatrixXcd m_tmp    = Eigen::MatrixXcd::Identity(Nblock,Nblock);
-  Eigen::MatrixXcd m_tmp1   = Eigen::MatrixXcd::Identity(Nblock,Nblock);
-
-  // Initial residual computation & set up
-  std::vector<RealD> residuals(Nblock);
-  std::vector<RealD> ssq(Nblock);
-
-  sliceNorm(ssq,B,Orthog);
-  RealD sssum=0;
-  for(int b=0;b<Nblock;b++) sssum+=ssq[b];
-
-  sliceNorm(residuals,B,Orthog);
-  for(int b=0;b<Nblock;b++){ assert(std::isnan(residuals[b])==0); }
-
-  sliceNorm(residuals,X,Orthog);
-  for(int b=0;b<Nblock;b++){ assert(std::isnan(residuals[b])==0); }
-
-  /************************************************************************
-   * Block conjugate gradient rQ (Sebastien Birk Thesis, after Dubrulle 2001)
-   ************************************************************************
-   * Dimensions:
-   *
-   *   X,B==(Nferm x Nblock)
-   *   A==(Nferm x Nferm)
-   *  
-   * Nferm = Nspin x Ncolour x Ncomplex x Nlattice_site
-   * 
-   * QC = R = B-AX, D = Q     ; QC => Thin QR factorisation (google it)
-   * for k: 
-   *   Z  = AD
-   *   M  = [D^dag Z]^{-1}
-   *   X  = X + D MC
-   *   QS = Q - ZM
-   *   D  = Q + D S^dag
-   *   C  = S C
-   */
-  ///////////////////////////////////////
-  // Initial block: initial search dir is guess
-  ///////////////////////////////////////
-  std::cout << GridLogMessage<<"BlockCGrQ algorithm initialisation " <<std::endl;
-
-  //1.  QC = R = B-AX, D = Q     ; QC => Thin QR factorisation (google it)
-  Linop.HermOp(X, AD);
-  tmp = B - AD;  
-
-  ThinQRfact (m_rr, m_C, m_Cinv, Q, tmp);
-  D=Q;
-
-  std::cout << GridLogMessage<<"BlockCGrQ computed initial residual and QR fact " <<std::endl;
-
-  ///////////////////////////////////////
-  // Timers
-  ///////////////////////////////////////
-  GridStopWatch sliceInnerTimer;
-  GridStopWatch sliceMaddTimer;
-  GridStopWatch QRTimer;
-  GridStopWatch MatrixTimer;
-  GridStopWatch SolverTimer;
-  SolverTimer.Start();
-
-  int k;
-  for (k = 1; k <= MaxIterations; k++) {
-
-    //3. Z  = AD
-    MatrixTimer.Start();
-    Linop.HermOp(D, Z);      
-    MatrixTimer.Stop();
-
-    //4. M  = [D^dag Z]^{-1}
-    sliceInnerTimer.Start();
-    sliceInnerProductMatrix(m_DZ,D,Z,Orthog);
-    sliceInnerTimer.Stop();
-    m_M       = m_DZ.inverse();
-    
-    //5. X  = X + D MC
-    m_tmp     = m_M * m_C;
-    sliceMaddTimer.Start();
-    sliceMaddMatrix(X,m_tmp, D,X,Orthog);     
-    sliceMaddTimer.Stop();
-
-    //6. QS = Q - ZM
-    sliceMaddTimer.Start();
-    sliceMaddMatrix(tmp,m_M,Z,Q,Orthog,-1.0);
-    sliceMaddTimer.Stop();
-    QRTimer.Start();
-    ThinQRfact (m_rr, m_S, m_Sinv, Q, tmp);
-    QRTimer.Stop();
-    
-    //7. D  = Q + D S^dag
-    m_tmp = m_S.adjoint();
-
-    sliceMaddTimer.Start();
-    sliceMaddMatrix(D,m_tmp,D,Q,Orthog);
-    sliceMaddTimer.Stop();
-
-    //8. C  = S C
-    m_C = m_S*m_C;
-    
-    /*********************
-     * convergence monitor
-     *********************
-     */
-    m_rr = m_C.adjoint() * m_C;
-
-    RealD max_resid=0;
-    RealD rrsum=0;
-    RealD rr;
-
-    for(int b=0;b<Nblock;b++) {
-      rrsum+=real(m_rr(b,b));
-      rr = real(m_rr(b,b))/ssq[b];
-      if ( rr > max_resid ) max_resid = rr;
-    }
-
-    std::cout << GridLogIterative << "\titeration "<<k<<" rr_sum "<<rrsum<<" ssq_sum "<< sssum
-	      <<" ave "<<std::sqrt(rrsum/sssum) << " max "<< max_resid <<std::endl;
-
-    if ( max_resid < Tolerance*Tolerance ) { 
-
-      SolverTimer.Stop();
-
-      std::cout << GridLogMessage<<"BlockCGrQ converged in "<<k<<" iterations"<<std::endl;
-
-      for(int b=0;b<Nblock;b++){
-	std::cout << GridLogMessage<< "\t\tblock "<<b<<" computed resid "
-		  << std::sqrt(real(m_rr(b,b))/ssq[b])<<std::endl;
-      }
-      std::cout << GridLogMessage<<"\tMax residual is "<<std::sqrt(max_resid)<<std::endl;
-
-      Linop.HermOp(X, AD);
-      AD = AD-B;
-      TrueResidual = std::sqrt(norm2(AD)/norm2(B));
-      std::cout << GridLogMessage <<"\tTrue residual is " << TrueResidual <<std::endl;
-
-      std::cout << GridLogMessage << "Time Breakdown "<<std::endl;
-      std::cout << GridLogMessage << "\tElapsed    " << SolverTimer.Elapsed()     <<std::endl;
-      std::cout << GridLogMessage << "\tMatrix     " << MatrixTimer.Elapsed()     <<std::endl;
-      std::cout << GridLogMessage << "\tInnerProd  " << sliceInnerTimer.Elapsed() <<std::endl;
-      std::cout << GridLogMessage << "\tMaddMatrix " << sliceMaddTimer.Elapsed()  <<std::endl;
-      std::cout << GridLogMessage << "\tThinQRfact " << QRTimer.Elapsed()  <<std::endl;
-	    
-      IterationsToComplete = k;
-      return;
-    }
-
-  }
-  std::cout << GridLogMessage << "BlockConjugateGradient(rQ) did NOT converge" << std::endl;
-
-  if (ErrorOnNoConverge) assert(0);
-  IterationsToComplete = k;
-}
-//////////////////////////////////////////////////////////////////////////
-// multiRHS conjugate gradient. Dimension zero should be the block direction
-// Use this for spread out across nodes
-//////////////////////////////////////////////////////////////////////////
-void CGmultiRHSsolve(LinearOperatorBase<Field> &Linop, const Field &Src, Field &Psi) 
-{
-  int Orthog = blockDim; // First dimension is block dim
-  Nblock = Src.Grid()->_fdimensions[Orthog];
-
-  std::cout<<GridLogMessage<<"MultiRHS Conjugate Gradient : Orthog "<<Orthog<<" Nblock "<<Nblock<<std::endl;
-
-  Psi.Checkerboard() = Src.Checkerboard();
-  conformable(Psi, Src);
-
-  Field P(Src);
-  Field AP(Src);
-  Field R(Src);
-  
-  std::vector<ComplexD> v_pAp(Nblock);
-  std::vector<RealD> v_rr (Nblock);
-  std::vector<RealD> v_rr_inv(Nblock);
-  std::vector<RealD> v_alpha(Nblock);
-  std::vector<RealD> v_beta(Nblock);
-
-  // Initial residual computation & set up
-  std::vector<RealD> residuals(Nblock);
-  std::vector<RealD> ssq(Nblock);
-
-  sliceNorm(ssq,Src,Orthog);
-  RealD sssum=0;
-  for(int b=0;b<Nblock;b++) sssum+=ssq[b];
-
-  sliceNorm(residuals,Src,Orthog);
-  for(int b=0;b<Nblock;b++){ assert(std::isnan(residuals[b])==0); }
-
-  sliceNorm(residuals,Psi,Orthog);
-  for(int b=0;b<Nblock;b++){ assert(std::isnan(residuals[b])==0); }
-
-  // Initial search dir is guess
-  Linop.HermOp(Psi, AP);
-
-  R = Src - AP;  
-  P = R;
-  sliceNorm(v_rr,R,Orthog);
-
-  GridStopWatch sliceInnerTimer;
-  GridStopWatch sliceMaddTimer;
-  GridStopWatch sliceNormTimer;
-  GridStopWatch MatrixTimer;
-  GridStopWatch SolverTimer;
-
-  SolverTimer.Start();
-  int k;
-  for (k = 1; k <= MaxIterations; k++) {
-
-    RealD rrsum=0;
-    for(int b=0;b<Nblock;b++) rrsum+=real(v_rr[b]);
-
-    std::cout << GridLogIterative << "\titeration "<<k<<" rr_sum "<<rrsum<<" ssq_sum "<< sssum
-	      <<" / "<<std::sqrt(rrsum/sssum) <<std::endl;
-
-    MatrixTimer.Start();
-    Linop.HermOp(P, AP);
-    MatrixTimer.Stop();
-
-    // Alpha
-    sliceInnerTimer.Start();
-    sliceInnerProductVector(v_pAp,P,AP,Orthog);
-    sliceInnerTimer.Stop();
-    for(int b=0;b<Nblock;b++){
-      v_alpha[b] = v_rr[b]/real(v_pAp[b]);
-    }
-
-    // Psi, R update
-    sliceMaddTimer.Start();
-    sliceMaddVector(Psi,v_alpha, P,Psi,Orthog);     // add alpha *  P to psi
-    sliceMaddVector(R  ,v_alpha,AP,  R,Orthog,-1.0);// sub alpha * AP to resid
-    sliceMaddTimer.Stop();
-
-    // Beta
-    for(int b=0;b<Nblock;b++){
-      v_rr_inv[b] = 1.0/v_rr[b];
-    }
-    sliceNormTimer.Start();
-    sliceNorm(v_rr,R,Orthog);
-    sliceNormTimer.Stop();
-    for(int b=0;b<Nblock;b++){
-      v_beta[b] = v_rr_inv[b] *v_rr[b];
-    }
-
-    // Search update
-    sliceMaddTimer.Start();
-    sliceMaddVector(P,v_beta,P,R,Orthog);
-    sliceMaddTimer.Stop();
-
-    /*********************
-     * convergence monitor
-     *********************
-     */
-    RealD max_resid=0;
-    for(int b=0;b<Nblock;b++){
-      RealD rr = v_rr[b]/ssq[b];
-      if ( rr > max_resid ) max_resid = rr;
-    }
-    
-    if ( max_resid < Tolerance*Tolerance ) { 
-
-      SolverTimer.Stop();
-
-      std::cout << GridLogMessage<<"MultiRHS solver converged in " <<k<<" iterations"<<std::endl;
-      for(int b=0;b<Nblock;b++){
-	std::cout << GridLogMessage<< "\t\tBlock "<<b<<" computed resid "<< std::sqrt(v_rr[b]/ssq[b])<<std::endl;
-      }
-      std::cout << GridLogMessage<<"\tMax residual is "<<std::sqrt(max_resid)<<std::endl;
-
-      Linop.HermOp(Psi, AP);
-      AP = AP-Src;
-      TrueResidual = std::sqrt(norm2(AP)/norm2(Src));
-      std::cout <<GridLogMessage << "\tTrue residual is " << TrueResidual <<std::endl;
-
-      std::cout << GridLogMessage << "Time Breakdown "<<std::endl;
-      std::cout << GridLogMessage << "\tElapsed    " << SolverTimer.Elapsed()     <<std::endl;
-      std::cout << GridLogMessage << "\tMatrix     " << MatrixTimer.Elapsed()     <<std::endl;
-      std::cout << GridLogMessage << "\tInnerProd  " << sliceInnerTimer.Elapsed() <<std::endl;
-      std::cout << GridLogMessage << "\tNorm       " << sliceNormTimer.Elapsed() <<std::endl;
-      std::cout << GridLogMessage << "\tMaddMatrix " << sliceMaddTimer.Elapsed()  <<std::endl;
-
-
-      IterationsToComplete = k;
-      return;
-    }
-
-  }
-  std::cout << GridLogMessage << "MultiRHSConjugateGradient did NOT converge" << std::endl;
-
-  if (ErrorOnNoConverge) assert(0);
-  IterationsToComplete = k;
-}
-
-void InnerProductMatrix(Eigen::MatrixXcd &m , const std::vector<Field> &X, const std::vector<Field> &Y){
-  for(int b=0;b<Nblock;b++){
-  for(int bp=0;bp<Nblock;bp++) {
-    m(b,bp) = innerProduct(X[b],Y[bp]);  
-  }}
-}
-void MaddMatrix(std::vector<Field> &AP, Eigen::MatrixXcd &m , const std::vector<Field> &X,const std::vector<Field> &Y,RealD scale=1.0){
-  // Should make this cache friendly with site outermost, parallel_for
-  // Deal with case AP aliases with either Y or X
-  std::vector<Field> tmp(Nblock,X[0]);
-  for(int b=0;b<Nblock;b++){
-    tmp[b]   = Y[b];
-    for(int bp=0;bp<Nblock;bp++) {
-      tmp[b] = tmp[b] + scomplex(scale*m(bp,b))*X[bp]; 
-    }
-  }
-  for(int b=0;b<Nblock;b++){
-    AP[b] = tmp[b];
-  }
-}
-void MulMatrix(std::vector<Field> &AP, Eigen::MatrixXcd &m , const std::vector<Field> &X){
-  // Should make this cache friendly with site outermost, parallel_for
-  for(int b=0;b<Nblock;b++){
-    AP[b] = Zero();
-    for(int bp=0;bp<Nblock;bp++) {
-      AP[b] += scomplex(m(bp,b))*X[bp]; 
-    }
-  }
-}
-double normv(const std::vector<Field> &P){
-  double nn = 0.0;
-  for(int b=0;b<Nblock;b++) {
-    nn+=norm2(P[b]);
-  }
-  return nn;
-}
-
-////////////////////////////////////////////////////////////////////////////
-// BlockCGrQvec implementation:
-//--------------------------
-// X is guess/Solution
-// B is RHS
-// Solve A X_i = B_i    ;        i refers to Nblock index
-////////////////////////////////////////////////////////////////////////////
-void BlockCGrQsolveVec(LinearOperatorBase<Field> &Linop, const std::vector<Field> &B, std::vector<Field> &X) 
-{
-  Nblock = B.size();
-  assert(Nblock == X.size());
-
-  std::cout<<GridLogMessage<<" Block Conjugate Gradient Vec rQ : Nblock "<<Nblock<<std::endl;
-
-  for(int b=0;b<Nblock;b++){ 
-    X[b].Checkerboard() = B[b].Checkerboard();
-    conformable(X[b], B[b]);
-    conformable(X[b], X[0]); 
-  }
-
-  Field Fake(B[0]);
-
-  std::vector<Field> tmp(Nblock,Fake);
-  std::vector<Field>   Q(Nblock,Fake);
-  std::vector<Field>   D(Nblock,Fake);
-  std::vector<Field>   Z(Nblock,Fake);
-  std::vector<Field>  AD(Nblock,Fake);
-
-  Eigen::MatrixXcd m_DZ     = Eigen::MatrixXcd::Identity(Nblock,Nblock);
-  Eigen::MatrixXcd m_M      = Eigen::MatrixXcd::Identity(Nblock,Nblock);
-  Eigen::MatrixXcd m_rr     = Eigen::MatrixXcd::Zero(Nblock,Nblock);
-
-  Eigen::MatrixXcd m_C      = Eigen::MatrixXcd::Zero(Nblock,Nblock);
-  Eigen::MatrixXcd m_Cinv   = Eigen::MatrixXcd::Zero(Nblock,Nblock);
-  Eigen::MatrixXcd m_S      = Eigen::MatrixXcd::Zero(Nblock,Nblock);
-  Eigen::MatrixXcd m_Sinv   = Eigen::MatrixXcd::Zero(Nblock,Nblock);
-
-  Eigen::MatrixXcd m_tmp    = Eigen::MatrixXcd::Identity(Nblock,Nblock);
-  Eigen::MatrixXcd m_tmp1   = Eigen::MatrixXcd::Identity(Nblock,Nblock);
-
-  // Initial residual computation & set up
-  std::vector<RealD> residuals(Nblock);
-  std::vector<RealD> ssq(Nblock);
-
-  RealD sssum=0;
-  for(int b=0;b<Nblock;b++){ ssq[b] = norm2(B[b]);}
-  for(int b=0;b<Nblock;b++) sssum+=ssq[b];
-
-  for(int b=0;b<Nblock;b++){ residuals[b] = norm2(B[b]);}
-  for(int b=0;b<Nblock;b++){ assert(std::isnan(residuals[b])==0); }
-
-  for(int b=0;b<Nblock;b++){ residuals[b] = norm2(X[b]);}
-  for(int b=0;b<Nblock;b++){ assert(std::isnan(residuals[b])==0); }
-
-  /************************************************************************
-   * Block conjugate gradient rQ (Sebastien Birk Thesis, after Dubrulle 2001)
-   ************************************************************************
-   * Dimensions:
-   *
-   *   X,B==(Nferm x Nblock)
-   *   A==(Nferm x Nferm)
-   *  
-   * Nferm = Nspin x Ncolour x Ncomplex x Nlattice_site
-   * 
-   * QC = R = B-AX, D = Q     ; QC => Thin QR factorisation (google it)
-   * for k: 
-   *   Z  = AD
-   *   M  = [D^dag Z]^{-1}
-   *   X  = X + D MC
-   *   QS = Q - ZM
-   *   D  = Q + D S^dag
-   *   C  = S C
-   */
-  ///////////////////////////////////////
-  // Initial block: initial search dir is guess
-  ///////////////////////////////////////
-  std::cout << GridLogMessage<<"BlockCGrQvec algorithm initialisation " <<std::endl;
-
-  //1.  QC = R = B-AX, D = Q     ; QC => Thin QR factorisation (google it)
-  for(int b=0;b<Nblock;b++) {
-    Linop.HermOp(X[b], AD[b]);
-    tmp[b] = B[b] - AD[b];  
-  }
-
-  ThinQRfact (m_rr, m_C, m_Cinv, Q, tmp);
-
-  for(int b=0;b<Nblock;b++) D[b]=Q[b];
-
-  std::cout << GridLogMessage<<"BlockCGrQ vec computed initial residual and QR fact " <<std::endl;
-
-  ///////////////////////////////////////
-  // Timers
-  ///////////////////////////////////////
-  GridStopWatch sliceInnerTimer;
-  GridStopWatch sliceMaddTimer;
-  GridStopWatch QRTimer;
-  GridStopWatch MatrixTimer;
-  GridStopWatch SolverTimer;
-  SolverTimer.Start();
-
-  int k;
-  for (k = 1; k <= MaxIterations; k++) {
-
-    //3. Z  = AD
-    MatrixTimer.Start();
-    for(int b=0;b<Nblock;b++) Linop.HermOp(D[b], Z[b]);      
-    MatrixTimer.Stop();
-
-    //4. M  = [D^dag Z]^{-1}
-    sliceInnerTimer.Start();
-    InnerProductMatrix(m_DZ,D,Z);
-    sliceInnerTimer.Stop();
-    m_M       = m_DZ.inverse();
-    
-    //5. X  = X + D MC
-    m_tmp     = m_M * m_C;
-    sliceMaddTimer.Start();
-    MaddMatrix(X,m_tmp, D,X);     
-    sliceMaddTimer.Stop();
-
-    //6. QS = Q - ZM
-    sliceMaddTimer.Start();
-    MaddMatrix(tmp,m_M,Z,Q,-1.0);
-    sliceMaddTimer.Stop();
-    QRTimer.Start();
-    ThinQRfact (m_rr, m_S, m_Sinv, Q, tmp);
-    QRTimer.Stop();
-    
-    //7. D  = Q + D S^dag
-    m_tmp = m_S.adjoint();
-    sliceMaddTimer.Start();
-    MaddMatrix(D,m_tmp,D,Q);
-    sliceMaddTimer.Stop();
-
-    //8. C  = S C
-    m_C = m_S*m_C;
-    
-    /*********************
-     * convergence monitor
-     *********************
-     */
-    m_rr = m_C.adjoint() * m_C;
-
-    RealD max_resid=0;
-    RealD rrsum=0;
-    RealD rr;
-
-    for(int b=0;b<Nblock;b++) {
-      rrsum+=real(m_rr(b,b));
-      rr = real(m_rr(b,b))/ssq[b];
-      if ( rr > max_resid ) max_resid = rr;
-    }
-
-    std::cout << GridLogIterative << "\t Block Iteration "<<k<<" ave resid "<< std::sqrt(rrsum/sssum) << " max "<< std::sqrt(max_resid) <<std::endl;
-
-    if ( max_resid < Tolerance*Tolerance ) { 
-
-      SolverTimer.Stop();
-
-      std::cout << GridLogMessage<<"BlockCGrQ converged in "<<k<<" iterations"<<std::endl;
-
-      for(int b=0;b<Nblock;b++){
-	std::cout << GridLogMessage<< "\t\tblock "<<b<<" computed resid "<< std::sqrt(real(m_rr(b,b))/ssq[b])<<std::endl;
-      }
-      std::cout << GridLogMessage<<"\tMax residual is "<<std::sqrt(max_resid)<<std::endl;
-
-      for(int b=0;b<Nblock;b++) Linop.HermOp(X[b], AD[b]);
-      for(int b=0;b<Nblock;b++) AD[b] = AD[b]-B[b];
-      TrueResidual = std::sqrt(normv(AD)/normv(B));
-      std::cout << GridLogMessage << "\tTrue residual is " << TrueResidual <<std::endl;
-
-      std::cout << GridLogMessage << "Time Breakdown "<<std::endl;
-      std::cout << GridLogMessage << "\tElapsed    " << SolverTimer.Elapsed()     <<std::endl;
-      std::cout << GridLogMessage << "\tMatrix     " << MatrixTimer.Elapsed()     <<std::endl;
-      std::cout << GridLogMessage << "\tInnerProd  " << sliceInnerTimer.Elapsed() <<std::endl;
-      std::cout << GridLogMessage << "\tMaddMatrix " << sliceMaddTimer.Elapsed()  <<std::endl;
-      std::cout << GridLogMessage << "\tThinQRfact " << QRTimer.Elapsed()  <<std::endl;
-	    
-      IterationsToComplete = k;
-      return;
-    }
-
-  }
-  std::cout << GridLogMessage << "BlockConjugateGradient(rQ) did NOT converge" << std::endl;
-
-  if (ErrorOnNoConverge) assert(0);
-  IterationsToComplete = k;
-}
-
-};
-
-NAMESPACE_END(Grid);
-

Grid/algorithms/iterative/CommunicationAvoidingGeneralisedMinimalResidual.h

@@ -1,248 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/algorithms/iterative/CommunicationAvoidingGeneralisedMinimalResidual.h
-
-Copyright (C) 2015
-
-Author: Daniel Richtmann <daniel.richtmann@ur.de>
-
-This program is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2 of the License, or
-(at your option) any later version.
-
-This program is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-GNU General Public License for more details.
-
-You should have received a copy of the GNU General Public License along
-with this program; if not, write to the Free Software Foundation, Inc.,
-51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-See the full license in the file "LICENSE" in the top level distribution
-directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_COMMUNICATION_AVOIDING_GENERALISED_MINIMAL_RESIDUAL_H
-#define GRID_COMMUNICATION_AVOIDING_GENERALISED_MINIMAL_RESIDUAL_H
-
-namespace Grid {
-
-template<class Field>
-class CommunicationAvoidingGeneralisedMinimalResidual : public OperatorFunction<Field> {
- public:
-  using OperatorFunction<Field>::operator();
-
-  bool ErrorOnNoConverge; // Throw an assert when CAGMRES fails to converge,
-                          // defaults to true
-
-  RealD   Tolerance;
-
-  Integer MaxIterations;
-  Integer RestartLength;
-  Integer MaxNumberOfRestarts;
-  Integer IterationCount; // Number of iterations the CAGMRES took to finish,
-                          // filled in upon completion
-
-  GridStopWatch MatrixTimer;
-  GridStopWatch LinalgTimer;
-  GridStopWatch QrTimer;
-  GridStopWatch CompSolutionTimer;
-
-  Eigen::MatrixXcd H;
-
-  std::vector<ComplexD> y;
-  std::vector<ComplexD> gamma;
-  std::vector<ComplexD> c;
-  std::vector<ComplexD> s;
-
-  CommunicationAvoidingGeneralisedMinimalResidual(RealD   tol,
-                                                  Integer maxit,
-                                                  Integer restart_length,
-                                                  bool    err_on_no_conv = true)
-      : Tolerance(tol)
-      , MaxIterations(maxit)
-      , RestartLength(restart_length)
-      , MaxNumberOfRestarts(MaxIterations/RestartLength + ((MaxIterations%RestartLength == 0) ? 0 : 1))
-      , ErrorOnNoConverge(err_on_no_conv)
-      , H(Eigen::MatrixXcd::Zero(RestartLength, RestartLength + 1)) // sizes taken from DD-αAMG code base
-      , y(RestartLength + 1, 0.)
-      , gamma(RestartLength + 1, 0.)
-      , c(RestartLength + 1, 0.)
-      , s(RestartLength + 1, 0.) {};
-
-  void operator()(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi) {
-
-    std::cout << GridLogWarning << "This algorithm currently doesn't differ from regular GMRES" << std::endl;
-
-    psi.Checkerboard() = src.Checkerboard();
-    conformable(psi, src);
-
-    RealD guess = norm2(psi);
-    assert(std::isnan(guess) == 0);
-
-    RealD cp;
-    RealD ssq = norm2(src);
-    RealD rsq = Tolerance * Tolerance * ssq;
-
-    Field r(src.Grid());
-
-    std::cout << std::setprecision(4) << std::scientific;
-    std::cout << GridLogIterative << "CommunicationAvoidingGeneralisedMinimalResidual: guess " << guess << std::endl;
-    std::cout << GridLogIterative << "CommunicationAvoidingGeneralisedMinimalResidual:   src " << ssq   << std::endl;
-
-    MatrixTimer.Reset();
-    LinalgTimer.Reset();
-    QrTimer.Reset();
-    CompSolutionTimer.Reset();
-
-    GridStopWatch SolverTimer;
-    SolverTimer.Start();
-
-    IterationCount = 0;
-
-    for (int k=0; k<MaxNumberOfRestarts; k++) {
-
-      cp = outerLoopBody(LinOp, src, psi, rsq);
-
-      // Stopping condition
-      if (cp <= rsq) {
-
-        SolverTimer.Stop();
-
-        LinOp.Op(psi,r);
-        axpy(r,-1.0,src,r);
-
-        RealD srcnorm       = sqrt(ssq);
-        RealD resnorm       = sqrt(norm2(r));
-        RealD true_residual = resnorm / srcnorm;
-
-        std::cout << GridLogMessage        << "CommunicationAvoidingGeneralisedMinimalResidual: Converged on iteration " << IterationCount
-                  << " computed residual " << sqrt(cp / ssq)
-                  << " true residual "     << true_residual
-                  << " target "            << Tolerance << std::endl;
-
-        std::cout << GridLogMessage << "CAGMRES Time elapsed: Total   " <<       SolverTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "CAGMRES Time elapsed: Matrix  " <<       MatrixTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "CAGMRES Time elapsed: Linalg  " <<       LinalgTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "CAGMRES Time elapsed: QR      " <<           QrTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "CAGMRES Time elapsed: CompSol " << CompSolutionTimer.Elapsed() << std::endl;
-        return;
-      }
-    }
-
-    std::cout << GridLogMessage << "CommunicationAvoidingGeneralisedMinimalResidual did NOT converge" << std::endl;
-
-    if (ErrorOnNoConverge)
-      assert(0);
-  }
-
-  RealD outerLoopBody(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi, RealD rsq) {
-
-    RealD cp = 0;
-
-    Field w(src.Grid());
-    Field r(src.Grid());
-
-    // this should probably be made a class member so that it is only allocated once, not in every restart
-    std::vector<Field> v(RestartLength + 1, src.Grid()); for (auto &elem : v) elem = Zero();
-
-    MatrixTimer.Start();
-    LinOp.Op(psi, w);
-    MatrixTimer.Stop();
-
-    LinalgTimer.Start();
-    r = src - w;
-
-    gamma[0] = sqrt(norm2(r));
-
-    ComplexD scale = 1.0/gamma[0];
-    v[0] = scale * r;
-
-    LinalgTimer.Stop();
-
-    for (int i=0; i<RestartLength; i++) {
-
-      IterationCount++;
-
-      arnoldiStep(LinOp, v, w, i);
-
-      qrUpdate(i);
-
-      cp = norm(gamma[i+1]);
-
-      std::cout << GridLogIterative << "CommunicationAvoidingGeneralisedMinimalResidual: Iteration " << IterationCount
-                << " residual " << cp << " target " << rsq << std::endl;
-
-      if ((i == RestartLength - 1) || (IterationCount == MaxIterations) || (cp <= rsq)) {
-
-        computeSolution(v, psi, i);
-
-        return cp;
-      }
-    }
-
-    assert(0); // Never reached
-    return cp;
-  }
-
-  void arnoldiStep(LinearOperatorBase<Field> &LinOp, std::vector<Field> &v, Field &w, int iter) {
-
-    MatrixTimer.Start();
-    LinOp.Op(v[iter], w);
-    MatrixTimer.Stop();
-
-    LinalgTimer.Start();
-    for (int i = 0; i <= iter; ++i) {
-      H(iter, i) = innerProduct(v[i], w);
-      w = w - ComplexD(H(iter, i)) * v[i];
-    }
-
-    H(iter, iter + 1) = sqrt(norm2(w));
-    v[iter + 1] = ComplexD(1. / H(iter, iter + 1)) * w;
-    LinalgTimer.Stop();
-  }
-
-  void qrUpdate(int iter) {
-
-    QrTimer.Start();
-    for (int i = 0; i < iter ; ++i) {
-      auto tmp       = -s[i] * ComplexD(H(iter, i)) + c[i] * ComplexD(H(iter, i + 1));
-      H(iter, i)     = conjugate(c[i]) * ComplexD(H(iter, i)) + conjugate(s[i]) * ComplexD(H(iter, i + 1));
-      H(iter, i + 1) = tmp;
-    }
-
-    // Compute new Givens Rotation
-    auto nu     = sqrt(std::norm(H(iter, iter)) + std::norm(H(iter, iter + 1)));
-    c[iter]     = H(iter, iter) / nu;
-    s[iter]     = H(iter, iter + 1) / nu;
-
-    // Apply new Givens rotation
-    H(iter, iter)     = nu;
-    H(iter, iter + 1) = 0.;
-
-    gamma[iter + 1] = -s[iter] * gamma[iter];
-    gamma[iter]     = conjugate(c[iter]) * gamma[iter];
-    QrTimer.Stop();
-  }
-
-  void computeSolution(std::vector<Field> const &v, Field &psi, int iter) {
-
-    CompSolutionTimer.Start();
-    for (int i = iter; i >= 0; i--) {
-      y[i] = gamma[i];
-      for (int k = i + 1; k <= iter; k++)
-        y[i] = y[i] - ComplexD(H(k, i)) * y[k];
-      y[i] = y[i] / ComplexD(H(i, i));
-    }
-
-    for (int i = 0; i <= iter; i++)
-      psi = psi + v[i] * y[i];
-    CompSolutionTimer.Stop();
-  }
-};
-}
-#endif

Grid/algorithms/iterative/ConjugateGradient.h

@@ -1,203 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/algorithms/iterative/ConjugateGradient.h
-
-Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-Author: paboyle <paboyle@ph.ed.ac.uk>
-
-This program is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2 of the License, or
-(at your option) any later version.
-
-This program is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-GNU General Public License for more details.
-
-You should have received a copy of the GNU General Public License along
-with this program; if not, write to the Free Software Foundation, Inc.,
-51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-See the full license in the file "LICENSE" in the top level distribution
-directory
-*************************************************************************************/
-			   /*  END LEGAL */
-#ifndef GRID_CONJUGATE_GRADIENT_H
-#define GRID_CONJUGATE_GRADIENT_H
-
-NAMESPACE_BEGIN(Grid);
-
-/////////////////////////////////////////////////////////////
-// Base classes for iterative processes based on operators
-// single input vec, single output vec.
-/////////////////////////////////////////////////////////////
-
-template <class Field>
-class ConjugateGradient : public OperatorFunction<Field> {
-public:
-
-  using OperatorFunction<Field>::operator();
-
-  bool ErrorOnNoConverge;  // throw an assert when the CG fails to converge.
-                           // Defaults true.
-  RealD Tolerance;
-  Integer MaxIterations;
-  Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion
-  RealD TrueResidual;
-  
-  ConjugateGradient(RealD tol, Integer maxit, bool err_on_no_conv = true)
-    : Tolerance(tol),
-      MaxIterations(maxit),
-      ErrorOnNoConverge(err_on_no_conv){};
-
-  void operator()(LinearOperatorBase<Field> &Linop, const Field &src, Field &psi) {
-
-    psi.Checkerboard() = src.Checkerboard();
-
-    conformable(psi, src);
-
-    RealD cp, c, a, d, b, ssq, qq;
-    //RealD b_pred;
-
-    Field p(src);
-    Field mmp(src);
-    Field r(src);
-
-    // Initial residual computation & set up
-    RealD guess = norm2(psi);
-    assert(std::isnan(guess) == 0);
-    
-    Linop.HermOpAndNorm(psi, mmp, d, b);
-    
-    r = src - mmp;
-    p = r;
-
-    a = norm2(p);
-    cp = a;
-    ssq = norm2(src);
-
-    // Handle trivial case of zero src
-    if (ssq == 0.){
-      psi = Zero();
-      IterationsToComplete = 1;
-      TrueResidual = 0.;
-      return;
-    }
-
-    std::cout << GridLogIterative << std::setprecision(8) << "ConjugateGradient: guess " << guess << std::endl;
-    std::cout << GridLogIterative << std::setprecision(8) << "ConjugateGradient:   src " << ssq << std::endl;
-    std::cout << GridLogIterative << std::setprecision(8) << "ConjugateGradient:    mp " << d << std::endl;
-    std::cout << GridLogIterative << std::setprecision(8) << "ConjugateGradient:   mmp " << b << std::endl;
-    std::cout << GridLogIterative << std::setprecision(8) << "ConjugateGradient:  cp,r " << cp << std::endl;
-    std::cout << GridLogIterative << std::setprecision(8) << "ConjugateGradient:     p " << a << std::endl;
-
-    RealD rsq = Tolerance * Tolerance * ssq;
-
-    // Check if guess is really REALLY good :)
-    if (cp <= rsq) {
-      TrueResidual = std::sqrt(a/ssq);
-      std::cout << GridLogMessage << "ConjugateGradient guess is converged already " << std::endl;
-      IterationsToComplete = 0;	
-      return;
-    }
-
-    std::cout << GridLogIterative << std::setprecision(8)
-              << "ConjugateGradient: k=0 residual " << cp << " target " << rsq << std::endl;
-
-    GridStopWatch LinalgTimer;
-    GridStopWatch InnerTimer;
-    GridStopWatch AxpyNormTimer;
-    GridStopWatch LinearCombTimer;
-    GridStopWatch MatrixTimer;
-    GridStopWatch SolverTimer;
-
-    SolverTimer.Start();
-    int k;
-    for (k = 1; k <= MaxIterations; k++) {
-      c = cp;
-
-      MatrixTimer.Start();
-      Linop.HermOp(p, mmp);
-      MatrixTimer.Stop();
-
-      LinalgTimer.Start();
-
-      InnerTimer.Start();
-      ComplexD dc  = innerProduct(p,mmp);
-      InnerTimer.Stop();
-      d = dc.real();
-      a = c / d;
-
-      AxpyNormTimer.Start();
-      cp = axpy_norm(r, -a, mmp, r);
-      AxpyNormTimer.Stop();
-      b = cp / c;
-
-      LinearCombTimer.Start();
-      {
-	autoView( psi_v , psi, AcceleratorWrite);
-	autoView( p_v   , p,   AcceleratorWrite);
-	autoView( r_v   , r,   AcceleratorWrite);
-	accelerator_for(ss,p_v.size(), Field::vector_object::Nsimd(),{
-	    coalescedWrite(psi_v[ss], a      *  p_v(ss) + psi_v(ss));
-	    coalescedWrite(p_v[ss]  , b      *  p_v(ss) + r_v  (ss));
-	});
-      }
-      LinearCombTimer.Stop();
-      LinalgTimer.Stop();
-
-      std::cout << GridLogIterative << "ConjugateGradient: Iteration " << k
-                << " residual " << sqrt(cp/ssq) << " target " << Tolerance << std::endl;
-
-      // Stopping condition
-      if (cp <= rsq) {
-        SolverTimer.Stop();
-        Linop.HermOpAndNorm(psi, mmp, d, qq);
-        p = mmp - src;
-
-        RealD srcnorm = std::sqrt(norm2(src));
-        RealD resnorm = std::sqrt(norm2(p));
-        RealD true_residual = resnorm / srcnorm;
-
-        std::cout << GridLogMessage << "ConjugateGradient Converged on iteration " << k 
-		  << "\tComputed residual " << std::sqrt(cp / ssq)
-		  << "\tTrue residual " << true_residual
-		  << "\tTarget " << Tolerance << std::endl;
-
-        std::cout << GridLogIterative << "Time breakdown "<<std::endl;
-	std::cout << GridLogIterative << "\tElapsed    " << SolverTimer.Elapsed() <<std::endl;
-	std::cout << GridLogIterative << "\tMatrix     " << MatrixTimer.Elapsed() <<std::endl;
-	std::cout << GridLogIterative << "\tLinalg     " << LinalgTimer.Elapsed() <<std::endl;
-	std::cout << GridLogIterative << "\tInner      " << InnerTimer.Elapsed() <<std::endl;
-	std::cout << GridLogIterative << "\tAxpyNorm   " << AxpyNormTimer.Elapsed() <<std::endl;
-	std::cout << GridLogIterative << "\tLinearComb " << LinearCombTimer.Elapsed() <<std::endl;
-
-        if (ErrorOnNoConverge) assert(true_residual / Tolerance < 10000.0);
-
-	IterationsToComplete = k;	
-	TrueResidual = true_residual;
-
-        return;
-      }
-    }
-    // Failed. Calculate true residual before giving up                                                         
-    Linop.HermOpAndNorm(psi, mmp, d, qq);
-    p = mmp - src;
-
-    TrueResidual = sqrt(norm2(p)/ssq);
-
-    std::cout << GridLogMessage << "ConjugateGradient did NOT converge "<<k<<" / "<< MaxIterations<< std::endl;
-
-    if (ErrorOnNoConverge) assert(0);
-    IterationsToComplete = k;
-
-  }
-};
-NAMESPACE_END(Grid);
-#endif

Grid/algorithms/iterative/ConjugateGradientMixedPrec.h

@@ -1,161 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/iterative/ConjugateGradientMixedPrec.h
-
-    Copyright (C) 2015
-
-Author: Christopher Kelly <ckelly@phys.columbia.edu>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_CONJUGATE_GRADIENT_MIXED_PREC_H
-#define GRID_CONJUGATE_GRADIENT_MIXED_PREC_H
-
-NAMESPACE_BEGIN(Grid);
-
-  //Mixed precision restarted defect correction CG
-  template<class FieldD,class FieldF, 
-    typename std::enable_if< getPrecision<FieldD>::value == 2, int>::type = 0,
-    typename std::enable_if< getPrecision<FieldF>::value == 1, int>::type = 0> 
-  class MixedPrecisionConjugateGradient : public LinearFunction<FieldD> {
-  public:                                                
-    RealD   Tolerance;
-    RealD   InnerTolerance; //Initial tolerance for inner CG. Defaults to Tolerance but can be changed
-    Integer MaxInnerIterations;
-    Integer MaxOuterIterations;
-    GridBase* SinglePrecGrid; //Grid for single-precision fields
-    RealD OuterLoopNormMult; //Stop the outer loop and move to a final double prec solve when the residual is OuterLoopNormMult * Tolerance
-    LinearOperatorBase<FieldF> &Linop_f;
-    LinearOperatorBase<FieldD> &Linop_d;
-
-    Integer TotalInnerIterations; //Number of inner CG iterations
-    Integer TotalOuterIterations; //Number of restarts
-    Integer TotalFinalStepIterations; //Number of CG iterations in final patch-up step
-
-    //Option to speed up *inner single precision* solves using a LinearFunction that produces a guess
-    LinearFunction<FieldF> *guesser;
-    
-    MixedPrecisionConjugateGradient(RealD tol, 
-				    Integer maxinnerit, 
-				    Integer maxouterit, 
-				    GridBase* _sp_grid, 
-				    LinearOperatorBase<FieldF> &_Linop_f, 
-				    LinearOperatorBase<FieldD> &_Linop_d) :
-      Linop_f(_Linop_f), Linop_d(_Linop_d),
-      Tolerance(tol), InnerTolerance(tol), MaxInnerIterations(maxinnerit), MaxOuterIterations(maxouterit), SinglePrecGrid(_sp_grid),
-      OuterLoopNormMult(100.), guesser(NULL){ };
-
-    void useGuesser(LinearFunction<FieldF> &g){
-      guesser = &g;
-    }
-  
-  void operator() (const FieldD &src_d_in, FieldD &sol_d){
-    TotalInnerIterations = 0;
-	
-    GridStopWatch TotalTimer;
-    TotalTimer.Start();
-    
-    int cb = src_d_in.Checkerboard();
-    sol_d.Checkerboard() = cb;
-    
-    RealD src_norm = norm2(src_d_in);
-    RealD stop = src_norm * Tolerance*Tolerance;
-
-    GridBase* DoublePrecGrid = src_d_in.Grid();
-    FieldD tmp_d(DoublePrecGrid);
-    tmp_d.Checkerboard() = cb;
-    
-    FieldD tmp2_d(DoublePrecGrid);
-    tmp2_d.Checkerboard() = cb;
-    
-    FieldD src_d(DoublePrecGrid);
-    src_d = src_d_in; //source for next inner iteration, computed from residual during operation
-    
-    RealD inner_tol = InnerTolerance;
-    
-    FieldF src_f(SinglePrecGrid);
-    src_f.Checkerboard() = cb;
-    
-    FieldF sol_f(SinglePrecGrid);
-    sol_f.Checkerboard() = cb;
-    
-    ConjugateGradient<FieldF> CG_f(inner_tol, MaxInnerIterations);
-    CG_f.ErrorOnNoConverge = false;
-
-    GridStopWatch InnerCGtimer;
-
-    GridStopWatch PrecChangeTimer;
-    
-    Integer &outer_iter = TotalOuterIterations; //so it will be equal to the final iteration count
-      
-    for(outer_iter = 0; outer_iter < MaxOuterIterations; outer_iter++){
-      //Compute double precision rsd and also new RHS vector.
-      Linop_d.HermOp(sol_d, tmp_d);
-      RealD norm = axpy_norm(src_d, -1., tmp_d, src_d_in); //src_d is residual vector
-      
-      std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Outer iteration " <<outer_iter<<" residual "<< norm<< " target "<< stop<<std::endl;
-
-      if(norm < OuterLoopNormMult * stop){
-	std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Outer iteration converged on iteration " <<outer_iter <<std::endl;
-	break;
-      }
-      while(norm * inner_tol * inner_tol < stop) inner_tol *= 2;  // inner_tol = sqrt(stop/norm) ??
-
-      PrecChangeTimer.Start();
-      precisionChange(src_f, src_d);
-      PrecChangeTimer.Stop();
-      
-      sol_f = Zero();
-
-      //Optionally improve inner solver guess (eg using known eigenvectors)
-      if(guesser != NULL)
-	(*guesser)(src_f, sol_f);
-
-      //Inner CG
-      CG_f.Tolerance = inner_tol;
-      InnerCGtimer.Start();
-      CG_f(Linop_f, src_f, sol_f);
-      InnerCGtimer.Stop();
-      TotalInnerIterations += CG_f.IterationsToComplete;
-      
-      //Convert sol back to double and add to double prec solution
-      PrecChangeTimer.Start();
-      precisionChange(tmp_d, sol_f);
-      PrecChangeTimer.Stop();
-      
-      axpy(sol_d, 1.0, tmp_d, sol_d);
-    }
-    
-    //Final trial CG
-    std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Starting final patch-up double-precision solve"<<std::endl;
-    
-    ConjugateGradient<FieldD> CG_d(Tolerance, MaxInnerIterations);
-    CG_d(Linop_d, src_d_in, sol_d);
-    TotalFinalStepIterations = CG_d.IterationsToComplete;
-
-    TotalTimer.Stop();
-    std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Inner CG iterations " << TotalInnerIterations << " Restarts " << TotalOuterIterations << " Final CG iterations " << TotalFinalStepIterations << std::endl;
-    std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Total time " << TotalTimer.Elapsed() << " Precision change " << PrecChangeTimer.Elapsed() << " Inner CG total " << InnerCGtimer.Elapsed() << std::endl;
-  }
-};
-
-NAMESPACE_END(Grid);
-
-#endif

Grid/algorithms/iterative/ConjugateGradientMultiShift.h

@@ -1,342 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/iterative/ConjugateGradientMultiShift.h
-
-    Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_CONJUGATE_MULTI_SHIFT_GRADIENT_H
-#define GRID_CONJUGATE_MULTI_SHIFT_GRADIENT_H
-
-NAMESPACE_BEGIN(Grid);
-
-/////////////////////////////////////////////////////////////
-// Base classes for iterative processes based on operators
-// single input vec, single output vec.
-/////////////////////////////////////////////////////////////
-
-template<class Field> 
-class ConjugateGradientMultiShift : public OperatorMultiFunction<Field>,
-				    public OperatorFunction<Field>
-{
-public:                                                
-
-  using OperatorFunction<Field>::operator();
-
-  RealD   Tolerance;
-  Integer MaxIterations;
-  Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion
-  std::vector<int> IterationsToCompleteShift;  // Iterations for this shift
-  int verbose;
-  MultiShiftFunction shifts;
-  std::vector<RealD> TrueResidualShift;
-
-  ConjugateGradientMultiShift(Integer maxit,MultiShiftFunction &_shifts) : 
-    MaxIterations(maxit),
-    shifts(_shifts)
-  { 
-    verbose=1;
-    IterationsToCompleteShift.resize(_shifts.order);
-    TrueResidualShift.resize(_shifts.order);
-  }
-
-  void operator() (LinearOperatorBase<Field> &Linop, const Field &src, Field &psi)
-  {
-    GridBase *grid = src.Grid();
-    int nshift = shifts.order;
-    std::vector<Field> results(nshift,grid);
-    (*this)(Linop,src,results,psi);
-  }
-  void operator() (LinearOperatorBase<Field> &Linop, const Field &src, std::vector<Field> &results, Field &psi)
-  {
-    int nshift = shifts.order;
-
-    (*this)(Linop,src,results);
-  
-    psi = shifts.norm*src;
-    for(int i=0;i<nshift;i++){
-      psi = psi + shifts.residues[i]*results[i];
-    }
-
-    return;
-  }
-
-  void operator() (LinearOperatorBase<Field> &Linop, const Field &src, std::vector<Field> &psi)
-  {
-  
-    GridBase *grid = src.Grid();
-  
-    ////////////////////////////////////////////////////////////////////////
-    // Convenience references to the info stored in "MultiShiftFunction"
-    ////////////////////////////////////////////////////////////////////////
-    int nshift = shifts.order;
-
-    std::vector<RealD> &mass(shifts.poles); // Make references to array in "shifts"
-    std::vector<RealD> &mresidual(shifts.tolerances);
-    std::vector<RealD> alpha(nshift,1.0);
-    std::vector<Field>   ps(nshift,grid);// Search directions
-
-    assert(psi.size()==nshift);
-    assert(mass.size()==nshift);
-    assert(mresidual.size()==nshift);
-  
-    // dynamic sized arrays on stack; 2d is a pain with vector
-    RealD  bs[nshift];
-    RealD  rsq[nshift];
-    RealD  z[nshift][2];
-    int     converged[nshift];
-  
-    const int       primary =0;
-  
-    //Primary shift fields CG iteration
-    RealD a,b,c,d;
-    RealD cp,bp,qq; //prev
-  
-    // Matrix mult fields
-    Field r(grid);
-    Field p(grid);
-    Field tmp(grid);
-    Field mmp(grid);
-  
-    // Check lightest mass
-    for(int s=0;s<nshift;s++){
-      assert( mass[s]>= mass[primary] );
-      converged[s]=0;
-    }
-  
-    // Wire guess to zero
-    // Residuals "r" are src
-    // First search direction "p" is also src
-    cp = norm2(src);
-
-    // Handle trivial case of zero src.
-    if( cp == 0. ){
-      for(int s=0;s<nshift;s++){
-	psi[s] = Zero();
-	IterationsToCompleteShift[s] = 1;
-	TrueResidualShift[s] = 0.;
-      }
-      return;
-    }
-
-    for(int s=0;s<nshift;s++){
-      rsq[s] = cp * mresidual[s] * mresidual[s];
-      std::cout<<GridLogMessage<<"ConjugateGradientMultiShift: shift "<<s
-	       <<" target resid "<<rsq[s]<<std::endl;
-      ps[s] = src;
-    }
-    // r and p for primary
-    r=src;
-    p=src;
-  
-    //MdagM+m[0]
-    Linop.HermOpAndNorm(p,mmp,d,qq);
-    axpy(mmp,mass[0],p,mmp);
-    RealD rn = norm2(p);
-    d += rn*mass[0];
-  
-    // have verified that inner product of 
-    // p and mmp is equal to d after this since
-    // the d computation is tricky
-    //  qq = real(innerProduct(p,mmp));
-    //  std::cout<<GridLogMessage << "debug equal ?  qq "<<qq<<" d "<< d<<std::endl;
-  
-    b = -cp /d;
-  
-    // Set up the various shift variables
-    int       iz=0;
-    z[0][1-iz] = 1.0;
-    z[0][iz]   = 1.0;
-    bs[0]      = b;
-    for(int s=1;s<nshift;s++){
-      z[s][1-iz] = 1.0;
-      z[s][iz]   = 1.0/( 1.0 - b*(mass[s]-mass[0]));
-      bs[s]      = b*z[s][iz]; 
-    }
-  
-    // r += b[0] A.p[0]
-    // c= norm(r)
-    c=axpy_norm(r,b,mmp,r);
-  
-    for(int s=0;s<nshift;s++) {
-      axpby(psi[s],0.,-bs[s]*alpha[s],src,src);
-    }
-  
-  ///////////////////////////////////////
-  // Timers
-  ///////////////////////////////////////
-  GridStopWatch AXPYTimer;
-  GridStopWatch ShiftTimer;
-  GridStopWatch QRTimer;
-  GridStopWatch MatrixTimer;
-  GridStopWatch SolverTimer;
-  SolverTimer.Start();
-  
-    // Iteration loop
-    int k;
-  
-    for (k=1;k<=MaxIterations;k++){
-    
-      a = c /cp;
-    AXPYTimer.Start();
-      axpy(p,a,p,r);
-    AXPYTimer.Stop();
-    
-      // Note to self - direction ps is iterated seperately
-      // for each shift. Does not appear to have any scope
-      // for avoiding linear algebra in "single" case.
-      // 
-      // However SAME r is used. Could load "r" and update
-      // ALL ps[s]. 2/3 Bandwidth saving
-      // New Kernel: Load r, vector of coeffs, vector of pointers ps
-    AXPYTimer.Start();
-      for(int s=0;s<nshift;s++){
-	if ( ! converged[s] ) { 
-	  if (s==0){
-	    axpy(ps[s],a,ps[s],r);
-	  } else{
-	    RealD as =a *z[s][iz]*bs[s] /(z[s][1-iz]*b);
-	    axpby(ps[s],z[s][iz],as,r,ps[s]);
-	  }
-	}
-      }
-    AXPYTimer.Stop();
-    
-      cp=c;
-    MatrixTimer.Start();  
-    //Linop.HermOpAndNorm(p,mmp,d,qq); // d is used
-    // The below is faster on KNL
-    Linop.HermOp(p,mmp); 
-    d=real(innerProduct(p,mmp));
-    
-    MatrixTimer.Stop();  
-
-    AXPYTimer.Start();
-      axpy(mmp,mass[0],p,mmp);
-    AXPYTimer.Stop();
-      RealD rn = norm2(p);
-      d += rn*mass[0];
-    
-      bp=b;
-      b=-cp/d;
-    
-    AXPYTimer.Start();
-      c=axpy_norm(r,b,mmp,r);
-    AXPYTimer.Stop();
-
-      // Toggle the recurrence history
-      bs[0] = b;
-      iz = 1-iz;
-    ShiftTimer.Start();
-      for(int s=1;s<nshift;s++){
-	if((!converged[s])){
-	  RealD z0 = z[s][1-iz];
-	  RealD z1 = z[s][iz];
-	  z[s][iz] = z0*z1*bp
-	    / (b*a*(z1-z0) + z1*bp*(1- (mass[s]-mass[0])*b)); 
-	  bs[s] = b*z[s][iz]/z0; // NB sign  rel to Mike
-	}
-      }
-    ShiftTimer.Stop();
-    
-      for(int s=0;s<nshift;s++){
-	int ss = s;
-	// Scope for optimisation here in case of "single".
-	// Could load psi[0] and pull all ps[s] in.
-	//      if ( single ) ss=primary;
-	// Bandwith saving in single case is Ls * 3 -> 2+Ls, so ~ 3x saving
-	// Pipelined CG gain:
-	//
-	// New Kernel: Load r, vector of coeffs, vector of pointers ps
-	// New Kernel: Load psi[0], vector of coeffs, vector of pointers ps
-	// If can predict the coefficient bs then we can fuse these and avoid write reread cyce
-	//  on ps[s].
-	// Before:  3 x npole  + 3 x npole
-	// After :  2 x npole (ps[s])        => 3x speed up of multishift CG.
-      
-	if( (!converged[s]) ) { 
-	  axpy(psi[ss],-bs[s]*alpha[s],ps[s],psi[ss]);
-	}
-      }
-    
-      // Convergence checks
-      int all_converged = 1;
-      for(int s=0;s<nshift;s++){
-      
-	if ( (!converged[s]) ){
-	  IterationsToCompleteShift[s] = k;
-	
-	  RealD css  = c * z[s][iz]* z[s][iz];
-	
-	  if(css<rsq[s]){
-	    if ( ! converged[s] )
-	      std::cout<<GridLogMessage<<"ConjugateGradientMultiShift k="<<k<<" Shift "<<s<<" has converged"<<std::endl;
-	    converged[s]=1;
-	  } else {
-	    all_converged=0;
-	  }
-
-	}
-      }
-    
-      if ( all_converged ){
-
-    SolverTimer.Stop();
-
-
-	std::cout<<GridLogMessage<< "CGMultiShift: All shifts have converged iteration "<<k<<std::endl;
-	std::cout<<GridLogMessage<< "CGMultiShift: Checking solutions"<<std::endl;
-      
-	// Check answers 
-	for(int s=0; s < nshift; s++) { 
-	  Linop.HermOpAndNorm(psi[s],mmp,d,qq);
-	  axpy(tmp,mass[s],psi[s],mmp);
-	  axpy(r,-alpha[s],src,tmp);
-	  RealD rn = norm2(r);
-	  RealD cn = norm2(src);
-	  TrueResidualShift[s] = std::sqrt(rn/cn);
-	  std::cout<<GridLogMessage<<"CGMultiShift: shift["<<s<<"] true residual "<< TrueResidualShift[s] <<std::endl;
-	}
-
-      std::cout << GridLogMessage << "Time Breakdown "<<std::endl;
-      std::cout << GridLogMessage << "\tElapsed    " << SolverTimer.Elapsed()     <<std::endl;
-      std::cout << GridLogMessage << "\tAXPY    " << AXPYTimer.Elapsed()     <<std::endl;
-      std::cout << GridLogMessage << "\tMarix    " << MatrixTimer.Elapsed()     <<std::endl;
-      std::cout << GridLogMessage << "\tShift    " << ShiftTimer.Elapsed()     <<std::endl;
-
-      IterationsToComplete = k;	
-
-	return;
-      }
-
-   
-    }
-    // ugly hack
-    std::cout<<GridLogMessage<<"CG multi shift did not converge"<<std::endl;
-    //  assert(0);
-  }
-
-};
-NAMESPACE_END(Grid);
-#endif

Grid/algorithms/iterative/ConjugateGradientReliableUpdate.h

@@ -1,258 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/iterative/ConjugateGradientReliableUpdate.h
-
-    Copyright (C) 2015
-
-Author: Christopher Kelly <ckelly@phys.columbia.edu>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_CONJUGATE_GRADIENT_RELIABLE_UPDATE_H
-#define GRID_CONJUGATE_GRADIENT_RELIABLE_UPDATE_H
-
-NAMESPACE_BEGIN(Grid);
-
-template<class FieldD,class FieldF, 
-	 typename std::enable_if< getPrecision<FieldD>::value == 2, int>::type = 0,
-	 typename std::enable_if< getPrecision<FieldF>::value == 1, int>::type = 0> 
-class ConjugateGradientReliableUpdate : public LinearFunction<FieldD> {
-public:
-  bool ErrorOnNoConverge;  // throw an assert when the CG fails to converge.
-  // Defaults true.
-  RealD Tolerance;
-  Integer MaxIterations;
-  Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion
-  Integer ReliableUpdatesPerformed;
-
-  bool DoFinalCleanup; //Final DP cleanup, defaults to true
-  Integer IterationsToCleanup; //Final DP cleanup step iterations
-    
-  LinearOperatorBase<FieldF> &Linop_f;
-  LinearOperatorBase<FieldD> &Linop_d;
-  GridBase* SinglePrecGrid;
-  RealD Delta; //reliable update parameter
-
-  //Optional ability to switch to a different linear operator once the tolerance reaches a certain point. Useful for single/half -> single/single
-  LinearOperatorBase<FieldF> *Linop_fallback;
-  RealD fallback_transition_tol;
-
-    
-  ConjugateGradientReliableUpdate(RealD tol, Integer maxit, RealD _delta, GridBase* _sp_grid, LinearOperatorBase<FieldF> &_Linop_f, LinearOperatorBase<FieldD> &_Linop_d, bool err_on_no_conv = true)
-    : Tolerance(tol),
-      MaxIterations(maxit),
-      Delta(_delta),
-      Linop_f(_Linop_f),
-      Linop_d(_Linop_d),
-      SinglePrecGrid(_sp_grid),
-      ErrorOnNoConverge(err_on_no_conv),
-      DoFinalCleanup(true),
-      Linop_fallback(NULL)
-  {};
-
-  void setFallbackLinop(LinearOperatorBase<FieldF> &_Linop_fallback, const RealD _fallback_transition_tol){
-    Linop_fallback = &_Linop_fallback;
-    fallback_transition_tol = _fallback_transition_tol;      
-  }
-    
-  void operator()(const FieldD &src, FieldD &psi) {
-    LinearOperatorBase<FieldF> *Linop_f_use = &Linop_f;
-    bool using_fallback = false;
-      
-    psi.Checkerboard() = src.Checkerboard();
-    conformable(psi, src);
-
-    RealD cp, c, a, d, b, ssq, qq, b_pred;
-
-    FieldD p(src);
-    FieldD mmp(src);
-    FieldD r(src);
-
-    // Initial residual computation & set up
-    RealD guess = norm2(psi);
-    assert(std::isnan(guess) == 0);
-    
-    Linop_d.HermOpAndNorm(psi, mmp, d, b);
-    
-    r = src - mmp;
-    p = r;
-
-    a = norm2(p);
-    cp = a;
-    ssq = norm2(src);
-
-    std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate: guess " << guess << std::endl;
-    std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate:   src " << ssq << std::endl;
-    std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate:    mp " << d << std::endl;
-    std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate:   mmp " << b << std::endl;
-    std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate:  cp,r " << cp << std::endl;
-    std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate:     p " << a << std::endl;
-
-    RealD rsq = Tolerance * Tolerance * ssq;
-
-    // Check if guess is really REALLY good :)
-    if (cp <= rsq) {
-      std::cout << GridLogMessage << "ConjugateGradientReliableUpdate guess was REALLY good\n";
-      std::cout << GridLogMessage << "\tComputed residual " << std::sqrt(cp / ssq)<<std::endl;
-      return;
-    }
-
-    //Single prec initialization
-    FieldF r_f(SinglePrecGrid);
-    r_f.Checkerboard() = r.Checkerboard();
-    precisionChange(r_f, r);
-
-    FieldF psi_f(r_f);
-    psi_f = Zero();
-
-    FieldF p_f(r_f);
-    FieldF mmp_f(r_f);
-
-    RealD MaxResidSinceLastRelUp = cp; //initial residual    
-    
-    std::cout << GridLogIterative << std::setprecision(4)
-	      << "ConjugateGradient: k=0 residual " << cp << " target " << rsq << std::endl;
-
-    GridStopWatch LinalgTimer;
-    GridStopWatch MatrixTimer;
-    GridStopWatch SolverTimer;
-
-    SolverTimer.Start();
-    int k = 0;
-    int l = 0;
-    
-    for (k = 1; k <= MaxIterations; k++) {
-      c = cp;
-
-      MatrixTimer.Start();
-      Linop_f_use->HermOpAndNorm(p_f, mmp_f, d, qq);
-      MatrixTimer.Stop();
-
-      LinalgTimer.Start();
-
-      a = c / d;
-      b_pred = a * (a * qq - d) / c;
-
-      cp = axpy_norm(r_f, -a, mmp_f, r_f);
-      b = cp / c;
-
-      // Fuse these loops ; should be really easy
-      psi_f = a * p_f + psi_f;
-      //p_f = p_f * b + r_f;
-
-      LinalgTimer.Stop();
-
-      std::cout << GridLogIterative << "ConjugateGradientReliableUpdate: Iteration " << k
-		<< " residual " << cp << " target " << rsq << std::endl;
-      std::cout << GridLogDebug << "a = "<< a << " b_pred = "<< b_pred << "  b = "<< b << std::endl;
-      std::cout << GridLogDebug << "qq = "<< qq << " d = "<< d << "  c = "<< c << std::endl;
-
-      if(cp > MaxResidSinceLastRelUp){
-	std::cout << GridLogIterative << "ConjugateGradientReliableUpdate: updating MaxResidSinceLastRelUp : " << MaxResidSinceLastRelUp << " -> " << cp << std::endl;
-	MaxResidSinceLastRelUp = cp;
-      }
-	  
-      // Stopping condition
-      if (cp <= rsq) {
-	//Although not written in the paper, I assume that I have to add on the final solution
-	precisionChange(mmp, psi_f);
-	psi = psi + mmp;
-	
-	
-	SolverTimer.Stop();
-	Linop_d.HermOpAndNorm(psi, mmp, d, qq);
-	p = mmp - src;
-
-	RealD srcnorm = std::sqrt(norm2(src));
-	RealD resnorm = std::sqrt(norm2(p));
-	RealD true_residual = resnorm / srcnorm;
-
-	std::cout << GridLogMessage << "ConjugateGradientReliableUpdate Converged on iteration " << k << " after " << l << " reliable updates" << std::endl;
-	std::cout << GridLogMessage << "\tComputed residual " << std::sqrt(cp / ssq)<<std::endl;
-	std::cout << GridLogMessage << "\tTrue residual " << true_residual<<std::endl;
-	std::cout << GridLogMessage << "\tTarget " << Tolerance << std::endl;
-
-	std::cout << GridLogMessage << "Time breakdown "<<std::endl;
-	std::cout << GridLogMessage << "\tElapsed    " << SolverTimer.Elapsed() <<std::endl;
-	std::cout << GridLogMessage << "\tMatrix     " << MatrixTimer.Elapsed() <<std::endl;
-	std::cout << GridLogMessage << "\tLinalg     " << LinalgTimer.Elapsed() <<std::endl;
-
-	IterationsToComplete = k;	
-	ReliableUpdatesPerformed = l;
-	  
-	if(DoFinalCleanup){
-	  //Do a final CG to cleanup
-	  std::cout << GridLogMessage << "ConjugateGradientReliableUpdate performing final cleanup.\n";
-	  ConjugateGradient<FieldD> CG(Tolerance,MaxIterations);
-	  CG.ErrorOnNoConverge = ErrorOnNoConverge;
-	  CG(Linop_d,src,psi);
-	  IterationsToCleanup = CG.IterationsToComplete;
-	}
-	else if (ErrorOnNoConverge) assert(true_residual / Tolerance < 10000.0);
-
-	std::cout << GridLogMessage << "ConjugateGradientReliableUpdate complete.\n";
-	return;
-      }
-      else if(cp < Delta * MaxResidSinceLastRelUp) { //reliable update
-	std::cout << GridLogMessage << "ConjugateGradientReliableUpdate "
-		  << cp << "(residual) < " << Delta << "(Delta) * " << MaxResidSinceLastRelUp << "(MaxResidSinceLastRelUp) on iteration " << k << " : performing reliable update\n";
-	precisionChange(mmp, psi_f);
-	psi = psi + mmp;
-
-	Linop_d.HermOpAndNorm(psi, mmp, d, qq);
-	r = src - mmp;
-
-	psi_f = Zero();
-	precisionChange(r_f, r);
-	cp = norm2(r);
-	MaxResidSinceLastRelUp = cp;
-
-	b = cp/c;
-	  
-	std::cout << GridLogMessage << "ConjugateGradientReliableUpdate new residual " << cp << std::endl;
-	  
-	l = l+1;
-      }
-
-      p_f = p_f * b + r_f; //update search vector after reliable update appears to help convergence
-
-      if(!using_fallback && Linop_fallback != NULL && cp < fallback_transition_tol){
-	std::cout << GridLogMessage << "ConjugateGradientReliableUpdate switching to fallback linear operator on iteration " << k << " at residual " << cp << std::endl;
-	Linop_f_use = Linop_fallback;
-	using_fallback = true;
-      }
-
-	
-    }
-    std::cout << GridLogMessage << "ConjugateGradientReliableUpdate did NOT converge"
-	      << std::endl;
-      
-    if (ErrorOnNoConverge) assert(0);
-    IterationsToComplete = k;
-    ReliableUpdatesPerformed = l;      
-  }    
-};
-
-
-NAMESPACE_END(Grid);
-
-
-
-#endif

Grid/algorithms/iterative/ConjugateResidual.h

@@ -1,113 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/iterative/ConjugateResidual.h
-
-    Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_CONJUGATE_RESIDUAL_H
-#define GRID_CONJUGATE_RESIDUAL_H
-
-NAMESPACE_BEGIN(Grid);
-
-/////////////////////////////////////////////////////////////
-// Base classes for iterative processes based on operators
-// single input vec, single output vec.
-/////////////////////////////////////////////////////////////
-
-template<class Field> 
-class ConjugateResidual : public OperatorFunction<Field> {
-public:                                                
-  using OperatorFunction<Field>::operator();
-
-  RealD   Tolerance;
-  Integer MaxIterations;
-  int verbose;
-
-  ConjugateResidual(RealD tol,Integer maxit) : Tolerance(tol), MaxIterations(maxit) { 
-    verbose=0;
-  };
-
-  void operator() (LinearOperatorBase<Field> &Linop,const Field &src, Field &psi){
-
-    RealD a, b; // c, d;
-    RealD cp, ssq,rsq;
-      
-    RealD rAr, rAAr, rArp;
-    RealD pAp, pAAp;
-
-    GridBase *grid = src.Grid();
-    psi=Zero();
-    Field r(grid),  p(grid), Ap(grid), Ar(grid);
-      
-    r=src;
-    p=src;
-
-    Linop.HermOpAndNorm(p,Ap,pAp,pAAp);
-    Linop.HermOpAndNorm(r,Ar,rAr,rAAr);
-
-    cp =norm2(r);
-    ssq=norm2(src);
-    rsq=Tolerance*Tolerance*ssq;
-
-    if (verbose) std::cout<<GridLogMessage<<"ConjugateResidual: iteration " <<0<<" residual "<<cp<< " target"<< rsq<<std::endl;
-
-    for(int k=1;k<MaxIterations;k++){
-
-      a = rAr/pAAp;
-
-      axpy(psi,a,p,psi);
-
-      cp = axpy_norm(r,-a,Ap,r);
-
-      rArp=rAr;
-
-      Linop.HermOpAndNorm(r,Ar,rAr,rAAr);
-
-      b   =rAr/rArp;
- 
-      axpy(p,b,p,r);
-      pAAp=axpy_norm(Ap,b,Ap,Ar);
-	
-      if(verbose) std::cout<<GridLogMessage<<"ConjugateResidual: iteration " <<k<<" residual "<<cp<< " target"<< rsq<<std::endl;
-
-      if(cp<rsq) {
-	Linop.HermOp(psi,Ap);
-	axpy(r,-1.0,src,Ap);
-	RealD true_resid = norm2(r)/ssq;
-	std::cout<<GridLogMessage<<"ConjugateResidual: Converged on iteration " <<k
-		 << " computed residual "<<std::sqrt(cp/ssq)
-		 << " true residual "<<std::sqrt(true_resid)
-		 << " target "       <<Tolerance <<std::endl;
-	return;
-      }
-
-    }
-
-    std::cout<<GridLogMessage<<"ConjugateResidual did NOT converge"<<std::endl;
-    assert(0);
-  }
-};
-NAMESPACE_END(Grid);
-#endif

Grid/algorithms/iterative/Deflation.h

@@ -1,108 +0,0 @@
-    /*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/iterative/ImplicitlyRestartedLanczos.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-    *************************************************************************************/
-    /*  END LEGAL */
-#ifndef GRID_DEFLATION_H
-#define GRID_DEFLATION_H
-
-namespace Grid { 
-
-template<class Field>
-class ZeroGuesser: public LinearFunction<Field> {
-public:
-    virtual void operator()(const Field &src, Field &guess) { guess = Zero(); };
-};
-template<class Field>
-class DoNothingGuesser: public LinearFunction<Field> {
-public:
-  virtual void operator()(const Field &src, Field &guess) {  };
-};
-template<class Field>
-class SourceGuesser: public LinearFunction<Field> {
-public:
-  virtual void operator()(const Field &src, Field &guess) { guess = src; };
-};
-
-////////////////////////////////
-// Fine grid deflation
-////////////////////////////////
-template<class Field>
-class DeflatedGuesser: public LinearFunction<Field> {
-private:
-  const std::vector<Field> &evec;
-  const std::vector<RealD> &eval;
-
-public:
-
-  DeflatedGuesser(const std::vector<Field> & _evec,const std::vector<RealD> & _eval) : evec(_evec), eval(_eval) {};
-
-  virtual void operator()(const Field &src,Field &guess) {
-    guess = Zero();
-    assert(evec.size()==eval.size());
-    auto N = evec.size();
-    for (int i=0;i<N;i++) {
-      const Field& tmp = evec[i];
-      axpy(guess,TensorRemove(innerProduct(tmp,src)) / eval[i],tmp,guess);
-    }
-    guess.Checkerboard() = src.Checkerboard();
-  }
-};
-
-template<class FineField, class CoarseField>
-class LocalCoherenceDeflatedGuesser: public LinearFunction<FineField> {
-private:
-  const std::vector<FineField>   &subspace;
-  const std::vector<CoarseField> &evec_coarse;
-  const std::vector<RealD>       &eval_coarse;
-public:
-  
-  LocalCoherenceDeflatedGuesser(const std::vector<FineField>   &_subspace,
-				const std::vector<CoarseField> &_evec_coarse,
-				const std::vector<RealD>       &_eval_coarse)
-    : subspace(_subspace), 
-      evec_coarse(_evec_coarse), 
-      eval_coarse(_eval_coarse)  
-  {
-  }
-  
-  void operator()(const FineField &src,FineField &guess) { 
-    int N = (int)evec_coarse.size();
-    CoarseField src_coarse(evec_coarse[0].Grid());
-    CoarseField guess_coarse(evec_coarse[0].Grid());    guess_coarse = Zero();
-    blockProject(src_coarse,src,subspace);    
-    for (int i=0;i<N;i++) {
-      const CoarseField & tmp = evec_coarse[i];
-      axpy(guess_coarse,TensorRemove(innerProduct(tmp,src_coarse)) / eval_coarse[i],tmp,guess_coarse);
-    }
-    blockPromote(guess_coarse,guess,subspace);
-    guess.Checkerboard() = src.Checkerboard();
-  };
-};
-
-
-
-}
-#endif

Grid/algorithms/iterative/FlexibleCommunicationAvoidingGeneralisedMinimalResidual.h

@@ -1,258 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/algorithms/iterative/FlexibleCommunicationAvoidingGeneralisedMinimalResidual.h
-
-Copyright (C) 2015
-
-Author: Daniel Richtmann <daniel.richtmann@ur.de>
-
-This program is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2 of the License, or
-(at your option) any later version.
-
-This program is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-GNU General Public License for more details.
-
-You should have received a copy of the GNU General Public License along
-with this program; if not, write to the Free Software Foundation, Inc.,
-51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-See the full license in the file "LICENSE" in the top level distribution
-directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_FLEXIBLE_COMMUNICATION_AVOIDING_GENERALISED_MINIMAL_RESIDUAL_H
-#define GRID_FLEXIBLE_COMMUNICATION_AVOIDING_GENERALISED_MINIMAL_RESIDUAL_H
-
-namespace Grid {
-
-template<class Field>
-class FlexibleCommunicationAvoidingGeneralisedMinimalResidual : public OperatorFunction<Field> {
- public:
-  using OperatorFunction<Field>::operator();
-
-  bool ErrorOnNoConverge; // Throw an assert when FCAGMRES fails to converge,
-                          // defaults to true
-
-  RealD   Tolerance;
-
-  Integer MaxIterations;
-  Integer RestartLength;
-  Integer MaxNumberOfRestarts;
-  Integer IterationCount; // Number of iterations the FCAGMRES took to finish,
-                          // filled in upon completion
-
-  GridStopWatch MatrixTimer;
-  GridStopWatch PrecTimer;
-  GridStopWatch LinalgTimer;
-  GridStopWatch QrTimer;
-  GridStopWatch CompSolutionTimer;
-
-  Eigen::MatrixXcd H;
-
-  std::vector<ComplexD> y;
-  std::vector<ComplexD> gamma;
-  std::vector<ComplexD> c;
-  std::vector<ComplexD> s;
-
-  LinearFunction<Field> &Preconditioner;
-
-  FlexibleCommunicationAvoidingGeneralisedMinimalResidual(RealD   tol,
-                                                          Integer maxit,
-                                                          LinearFunction<Field> &Prec,
-                                                          Integer restart_length,
-                                                          bool    err_on_no_conv = true)
-      : Tolerance(tol)
-      , MaxIterations(maxit)
-      , RestartLength(restart_length)
-      , MaxNumberOfRestarts(MaxIterations/RestartLength + ((MaxIterations%RestartLength == 0) ? 0 : 1))
-      , ErrorOnNoConverge(err_on_no_conv)
-      , H(Eigen::MatrixXcd::Zero(RestartLength, RestartLength + 1)) // sizes taken from DD-αAMG code base
-      , y(RestartLength + 1, 0.)
-      , gamma(RestartLength + 1, 0.)
-      , c(RestartLength + 1, 0.)
-      , s(RestartLength + 1, 0.)
-      , Preconditioner(Prec) {};
-
-  void operator()(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi) {
-
-    std::cout << GridLogWarning << "This algorithm currently doesn't differ from regular FGMRES" << std::endl;
-
-    psi.Checkerboard() = src.Checkerboard();
-    conformable(psi, src);
-
-    RealD guess = norm2(psi);
-    assert(std::isnan(guess) == 0);
-
-    RealD cp;
-    RealD ssq = norm2(src);
-    RealD rsq = Tolerance * Tolerance * ssq;
-
-    Field r(src.Grid());
-
-    std::cout << std::setprecision(4) << std::scientific;
-    std::cout << GridLogIterative << "FlexibleCommunicationAvoidingGeneralisedMinimalResidual: guess " << guess << std::endl;
-    std::cout << GridLogIterative << "FlexibleCommunicationAvoidingGeneralisedMinimalResidual:   src " << ssq   << std::endl;
-
-    PrecTimer.Reset();
-    MatrixTimer.Reset();
-    LinalgTimer.Reset();
-    QrTimer.Reset();
-    CompSolutionTimer.Reset();
-
-    GridStopWatch SolverTimer;
-    SolverTimer.Start();
-
-    IterationCount = 0;
-
-    for (int k=0; k<MaxNumberOfRestarts; k++) {
-
-      cp = outerLoopBody(LinOp, src, psi, rsq);
-
-      // Stopping condition
-      if (cp <= rsq) {
-
-        SolverTimer.Stop();
-
-        LinOp.Op(psi,r);
-        axpy(r,-1.0,src,r);
-
-        RealD srcnorm       = sqrt(ssq);
-        RealD resnorm       = sqrt(norm2(r));
-        RealD true_residual = resnorm / srcnorm;
-
-        std::cout << GridLogMessage        << "FlexibleCommunicationAvoidingGeneralisedMinimalResidual: Converged on iteration " << IterationCount
-                  << " computed residual " << sqrt(cp / ssq)
-                  << " true residual "     << true_residual
-                  << " target "            << Tolerance << std::endl;
-
-        std::cout << GridLogMessage << "FCAGMRES Time elapsed: Total   " <<       SolverTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "FCAGMRES Time elapsed: Precon  " <<         PrecTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "FCAGMRES Time elapsed: Matrix  " <<       MatrixTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "FCAGMRES Time elapsed: Linalg  " <<       LinalgTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "FCAGMRES Time elapsed: QR      " <<           QrTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "FCAGMRES Time elapsed: CompSol " << CompSolutionTimer.Elapsed() << std::endl;
-        return;
-      }
-    }
-
-    std::cout << GridLogMessage << "FlexibleCommunicationAvoidingGeneralisedMinimalResidual did NOT converge" << std::endl;
-
-    if (ErrorOnNoConverge)
-      assert(0);
-  }
-
-  RealD outerLoopBody(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi, RealD rsq) {
-
-    RealD cp = 0;
-
-    Field w(src.Grid());
-    Field r(src.Grid());
-
-    // these should probably be made class members so that they are only allocated once, not in every restart
-    std::vector<Field> v(RestartLength + 1, src.Grid()); for (auto &elem : v) elem = Zero();
-    std::vector<Field> z(RestartLength + 1, src.Grid()); for (auto &elem : z) elem = Zero();
-
-    MatrixTimer.Start();
-    LinOp.Op(psi, w);
-    MatrixTimer.Stop();
-
-    LinalgTimer.Start();
-    r = src - w;
-
-    gamma[0] = sqrt(norm2(r));
-
-    v[0] = (1. / gamma[0]) * r;
-    LinalgTimer.Stop();
-
-    for (int i=0; i<RestartLength; i++) {
-
-      IterationCount++;
-
-      arnoldiStep(LinOp, v, z, w, i);
-
-      qrUpdate(i);
-
-      cp = norm(gamma[i+1]);
-
-      std::cout << GridLogIterative << "FlexibleCommunicationAvoidingGeneralisedMinimalResidual: Iteration " << IterationCount
-                << " residual " << cp << " target " << rsq << std::endl;
-
-      if ((i == RestartLength - 1) || (IterationCount == MaxIterations) || (cp <= rsq)) {
-
-        computeSolution(z, psi, i);
-
-        return cp;
-      }
-    }
-
-    assert(0); // Never reached
-    return cp;
-  }
-
-  void arnoldiStep(LinearOperatorBase<Field> &LinOp, std::vector<Field> &v, std::vector<Field> &z, Field &w, int iter) {
-
-    PrecTimer.Start();
-    Preconditioner(v[iter], z[iter]);
-    PrecTimer.Stop();
-
-    MatrixTimer.Start();
-    LinOp.Op(z[iter], w);
-    MatrixTimer.Stop();
-
-    LinalgTimer.Start();
-    for (int i = 0; i <= iter; ++i) {
-      H(iter, i) = innerProduct(v[i], w);
-      w = w - ComplexD(H(iter, i)) * v[i];
-    }
-
-    H(iter, iter + 1) = sqrt(norm2(w));
-    v[iter + 1] = ComplexD(1. / H(iter, iter + 1)) * w;
-    LinalgTimer.Stop();
-  }
-
-  void qrUpdate(int iter) {
-
-    QrTimer.Start();
-    for (int i = 0; i < iter ; ++i) {
-      auto tmp       = -s[i] * ComplexD(H(iter, i)) + c[i] * ComplexD(H(iter, i + 1));
-      H(iter, i)     = conjugate(c[i]) * ComplexD(H(iter, i)) + conjugate(s[i]) * ComplexD(H(iter, i + 1));
-      H(iter, i + 1) = tmp;
-    }
-
-    // Compute new Givens Rotation
-    auto nu = sqrt(std::norm(H(iter, iter)) + std::norm(H(iter, iter + 1)));
-    c[iter]     = H(iter, iter) / nu;
-    s[iter]     = H(iter, iter + 1) / nu;
-
-    // Apply new Givens rotation
-    H(iter, iter)     = nu;
-    H(iter, iter + 1) = 0.;
-
-    gamma[iter + 1] = -s[iter] * gamma[iter];
-    gamma[iter]     = conjugate(c[iter]) * gamma[iter];
-    QrTimer.Stop();
-  }
-
-  void computeSolution(std::vector<Field> const &z, Field &psi, int iter) {
-
-    CompSolutionTimer.Start();
-    for (int i = iter; i >= 0; i--) {
-      y[i] = gamma[i];
-      for (int k = i + 1; k <= iter; k++)
-        y[i] = y[i] - ComplexD(H(k, i)) * y[k];
-      y[i] = y[i] / ComplexD(H(i, i));
-    }
-
-    for (int i = 0; i <= iter; i++)
-      psi = psi + z[i] * y[i];
-    CompSolutionTimer.Stop();
-  }
-};
-}
-#endif

Grid/algorithms/iterative/FlexibleGeneralisedMinimalResidual.h

@@ -1,256 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/algorithms/iterative/FlexibleGeneralisedMinimalResidual.h
-
-Copyright (C) 2015
-
-Author: Daniel Richtmann <daniel.richtmann@ur.de>
-
-This program is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2 of the License, or
-(at your option) any later version.
-
-This program is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-GNU General Public License for more details.
-
-You should have received a copy of the GNU General Public License along
-with this program; if not, write to the Free Software Foundation, Inc.,
-51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-See the full license in the file "LICENSE" in the top level distribution
-directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_FLEXIBLE_GENERALISED_MINIMAL_RESIDUAL_H
-#define GRID_FLEXIBLE_GENERALISED_MINIMAL_RESIDUAL_H
-
-namespace Grid {
-
-template<class Field>
-class FlexibleGeneralisedMinimalResidual : public OperatorFunction<Field> {
- public:
-  using OperatorFunction<Field>::operator();
-
-  bool ErrorOnNoConverge; // Throw an assert when FGMRES fails to converge,
-                          // defaults to true
-
-  RealD   Tolerance;
-
-  Integer MaxIterations;
-  Integer RestartLength;
-  Integer MaxNumberOfRestarts;
-  Integer IterationCount; // Number of iterations the FGMRES took to finish,
-                          // filled in upon completion
-
-  GridStopWatch MatrixTimer;
-  GridStopWatch PrecTimer;
-  GridStopWatch LinalgTimer;
-  GridStopWatch QrTimer;
-  GridStopWatch CompSolutionTimer;
-
-  Eigen::MatrixXcd H;
-
-  std::vector<ComplexD> y;
-  std::vector<ComplexD> gamma;
-  std::vector<ComplexD> c;
-  std::vector<ComplexD> s;
-
-  LinearFunction<Field> &Preconditioner;
-
-  FlexibleGeneralisedMinimalResidual(RealD   tol,
-                                     Integer maxit,
-                                     LinearFunction<Field> &Prec,
-                                     Integer restart_length,
-                                     bool    err_on_no_conv = true)
-      : Tolerance(tol)
-      , MaxIterations(maxit)
-      , RestartLength(restart_length)
-      , MaxNumberOfRestarts(MaxIterations/RestartLength + ((MaxIterations%RestartLength == 0) ? 0 : 1))
-      , ErrorOnNoConverge(err_on_no_conv)
-      , H(Eigen::MatrixXcd::Zero(RestartLength, RestartLength + 1)) // sizes taken from DD-αAMG code base
-      , y(RestartLength + 1, 0.)
-      , gamma(RestartLength + 1, 0.)
-      , c(RestartLength + 1, 0.)
-      , s(RestartLength + 1, 0.)
-      , Preconditioner(Prec) {};
-
-  void operator()(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi) {
-
-    psi.Checkerboard() = src.Checkerboard();
-    conformable(psi, src);
-
-    RealD guess = norm2(psi);
-    assert(std::isnan(guess) == 0);
-
-    RealD cp;
-    RealD ssq = norm2(src);
-    RealD rsq = Tolerance * Tolerance * ssq;
-
-    Field r(src.Grid());
-
-    std::cout << std::setprecision(4) << std::scientific;
-    std::cout << GridLogIterative << "FlexibleGeneralisedMinimalResidual: guess " << guess << std::endl;
-    std::cout << GridLogIterative << "FlexibleGeneralisedMinimalResidual:   src " << ssq   << std::endl;
-
-    PrecTimer.Reset();
-    MatrixTimer.Reset();
-    LinalgTimer.Reset();
-    QrTimer.Reset();
-    CompSolutionTimer.Reset();
-
-    GridStopWatch SolverTimer;
-    SolverTimer.Start();
-
-    IterationCount = 0;
-
-    for (int k=0; k<MaxNumberOfRestarts; k++) {
-
-      cp = outerLoopBody(LinOp, src, psi, rsq);
-
-      // Stopping condition
-      if (cp <= rsq) {
-
-        SolverTimer.Stop();
-
-        LinOp.Op(psi,r);
-        axpy(r,-1.0,src,r);
-
-        RealD srcnorm       = sqrt(ssq);
-        RealD resnorm       = sqrt(norm2(r));
-        RealD true_residual = resnorm / srcnorm;
-
-        std::cout << GridLogMessage        << "FlexibleGeneralisedMinimalResidual: Converged on iteration " << IterationCount
-                  << " computed residual " << sqrt(cp / ssq)
-                  << " true residual "     << true_residual
-                  << " target "            << Tolerance << std::endl;
-
-        std::cout << GridLogMessage << "FGMRES Time elapsed: Total   " <<       SolverTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "FGMRES Time elapsed: Precon  " <<         PrecTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "FGMRES Time elapsed: Matrix  " <<       MatrixTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "FGMRES Time elapsed: Linalg  " <<       LinalgTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "FGMRES Time elapsed: QR      " <<           QrTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "FGMRES Time elapsed: CompSol " << CompSolutionTimer.Elapsed() << std::endl;
-        return;
-      }
-    }
-
-    std::cout << GridLogMessage << "FlexibleGeneralisedMinimalResidual did NOT converge" << std::endl;
-
-    if (ErrorOnNoConverge)
-      assert(0);
-  }
-
-  RealD outerLoopBody(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi, RealD rsq) {
-
-    RealD cp = 0;
-
-    Field w(src.Grid());
-    Field r(src.Grid());
-
-    // these should probably be made class members so that they are only allocated once, not in every restart
-    std::vector<Field> v(RestartLength + 1, src.Grid()); for (auto &elem : v) elem = Zero();
-    std::vector<Field> z(RestartLength + 1, src.Grid()); for (auto &elem : z) elem = Zero();
-
-    MatrixTimer.Start();
-    LinOp.Op(psi, w);
-    MatrixTimer.Stop();
-
-    LinalgTimer.Start();
-    r = src - w;
-
-    gamma[0] = sqrt(norm2(r));
-
-    v[0] = (1. / gamma[0]) * r;
-    LinalgTimer.Stop();
-
-    for (int i=0; i<RestartLength; i++) {
-
-      IterationCount++;
-
-      arnoldiStep(LinOp, v, z, w, i);
-
-      qrUpdate(i);
-
-      cp = norm(gamma[i+1]);
-
-      std::cout << GridLogIterative << "FlexibleGeneralisedMinimalResidual: Iteration " << IterationCount
-                << " residual " << cp << " target " << rsq << std::endl;
-
-      if ((i == RestartLength - 1) || (IterationCount == MaxIterations) || (cp <= rsq)) {
-
-        computeSolution(z, psi, i);
-
-        return cp;
-      }
-    }
-
-    assert(0); // Never reached
-    return cp;
-  }
-
-  void arnoldiStep(LinearOperatorBase<Field> &LinOp, std::vector<Field> &v, std::vector<Field> &z, Field &w, int iter) {
-
-    PrecTimer.Start();
-    Preconditioner(v[iter], z[iter]);
-    PrecTimer.Stop();
-
-    MatrixTimer.Start();
-    LinOp.Op(z[iter], w);
-    MatrixTimer.Stop();
-
-    LinalgTimer.Start();
-    for (int i = 0; i <= iter; ++i) {
-      H(iter, i) = innerProduct(v[i], w);
-      w = w - ComplexD(H(iter, i)) * v[i];
-    }
-
-    H(iter, iter + 1) = sqrt(norm2(w));
-    v[iter + 1] = ComplexD(1. / H(iter, iter + 1)) * w;
-    LinalgTimer.Stop();
-  }
-
-  void qrUpdate(int iter) {
-
-    QrTimer.Start();
-    for (int i = 0; i < iter ; ++i) {
-      auto tmp       = -s[i] * ComplexD(H(iter, i)) + c[i] * ComplexD(H(iter, i + 1));
-      H(iter, i)     = conjugate(c[i]) * ComplexD(H(iter, i)) + conjugate(s[i]) * ComplexD(H(iter, i + 1));
-      H(iter, i + 1) = tmp;
-    }
-
-    // Compute new Givens Rotation
-    auto nu = sqrt(std::norm(H(iter, iter)) + std::norm(H(iter, iter + 1)));
-    c[iter]     = H(iter, iter) / nu;
-    s[iter]     = H(iter, iter + 1) / nu;
-
-    // Apply new Givens rotation
-    H(iter, iter)     = nu;
-    H(iter, iter + 1) = 0.;
-
-    gamma[iter + 1] = -s[iter] * gamma[iter];
-    gamma[iter]     = conjugate(c[iter]) * gamma[iter];
-    QrTimer.Stop();
-  }
-
-  void computeSolution(std::vector<Field> const &z, Field &psi, int iter) {
-
-    CompSolutionTimer.Start();
-    for (int i = iter; i >= 0; i--) {
-      y[i] = gamma[i];
-      for (int k = i + 1; k <= iter; k++)
-        y[i] = y[i] - ComplexD(H(k, i)) * y[k];
-      y[i] = y[i] / ComplexD(H(i, i));
-    }
-
-    for (int i = 0; i <= iter; i++)
-      psi = psi + z[i] * y[i];
-    CompSolutionTimer.Stop();
-  }
-};
-}
-#endif

Grid/algorithms/iterative/GeneralisedMinimalResidual.h

@@ -1,244 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/algorithms/iterative/GeneralisedMinimalResidual.h
-
-Copyright (C) 2015
-
-Author: Daniel Richtmann <daniel.richtmann@ur.de>
-
-This program is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2 of the License, or
-(at your option) any later version.
-
-This program is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-GNU General Public License for more details.
-
-You should have received a copy of the GNU General Public License along
-with this program; if not, write to the Free Software Foundation, Inc.,
-51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-See the full license in the file "LICENSE" in the top level distribution
-directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_GENERALISED_MINIMAL_RESIDUAL_H
-#define GRID_GENERALISED_MINIMAL_RESIDUAL_H
-
-namespace Grid {
-
-template<class Field>
-class GeneralisedMinimalResidual : public OperatorFunction<Field> {
- public:
-  using OperatorFunction<Field>::operator();
-
-  bool ErrorOnNoConverge; // Throw an assert when GMRES fails to converge,
-                          // defaults to true
-
-  RealD   Tolerance;
-
-  Integer MaxIterations;
-  Integer RestartLength;
-  Integer MaxNumberOfRestarts;
-  Integer IterationCount; // Number of iterations the GMRES took to finish,
-                          // filled in upon completion
-
-  GridStopWatch MatrixTimer;
-  GridStopWatch LinalgTimer;
-  GridStopWatch QrTimer;
-  GridStopWatch CompSolutionTimer;
-
-  Eigen::MatrixXcd H;
-
-  std::vector<ComplexD> y;
-  std::vector<ComplexD> gamma;
-  std::vector<ComplexD> c;
-  std::vector<ComplexD> s;
-
-  GeneralisedMinimalResidual(RealD   tol,
-                             Integer maxit,
-                             Integer restart_length,
-                             bool    err_on_no_conv = true)
-      : Tolerance(tol)
-      , MaxIterations(maxit)
-      , RestartLength(restart_length)
-      , MaxNumberOfRestarts(MaxIterations/RestartLength + ((MaxIterations%RestartLength == 0) ? 0 : 1))
-      , ErrorOnNoConverge(err_on_no_conv)
-      , H(Eigen::MatrixXcd::Zero(RestartLength, RestartLength + 1)) // sizes taken from DD-αAMG code base
-      , y(RestartLength + 1, 0.)
-      , gamma(RestartLength + 1, 0.)
-      , c(RestartLength + 1, 0.)
-      , s(RestartLength + 1, 0.) {};
-
-  void operator()(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi) {
-
-    psi.Checkerboard() = src.Checkerboard();
-    conformable(psi, src);
-
-    RealD guess = norm2(psi);
-    assert(std::isnan(guess) == 0);
-
-    RealD cp;
-    RealD ssq = norm2(src);
-    RealD rsq = Tolerance * Tolerance * ssq;
-
-    Field r(src.Grid());
-
-    std::cout << std::setprecision(4) << std::scientific;
-    std::cout << GridLogIterative << "GeneralisedMinimalResidual: guess " << guess << std::endl;
-    std::cout << GridLogIterative << "GeneralisedMinimalResidual:   src " << ssq   << std::endl;
-
-    MatrixTimer.Reset();
-    LinalgTimer.Reset();
-    QrTimer.Reset();
-    CompSolutionTimer.Reset();
-
-    GridStopWatch SolverTimer;
-    SolverTimer.Start();
-
-    IterationCount = 0;
-
-    for (int k=0; k<MaxNumberOfRestarts; k++) {
-
-      cp = outerLoopBody(LinOp, src, psi, rsq);
-
-      // Stopping condition
-      if (cp <= rsq) {
-
-        SolverTimer.Stop();
-
-        LinOp.Op(psi,r);
-        axpy(r,-1.0,src,r);
-
-        RealD srcnorm       = sqrt(ssq);
-        RealD resnorm       = sqrt(norm2(r));
-        RealD true_residual = resnorm / srcnorm;
-
-        std::cout << GridLogMessage        << "GeneralisedMinimalResidual: Converged on iteration " << IterationCount
-                  << " computed residual " << sqrt(cp / ssq)
-                  << " true residual "     << true_residual
-                  << " target "            << Tolerance << std::endl;
-
-        std::cout << GridLogMessage << "GMRES Time elapsed: Total   " <<       SolverTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "GMRES Time elapsed: Matrix  " <<       MatrixTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "GMRES Time elapsed: Linalg  " <<       LinalgTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "GMRES Time elapsed: QR      " <<           QrTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "GMRES Time elapsed: CompSol " << CompSolutionTimer.Elapsed() << std::endl;
-        return;
-      }
-    }
-
-    std::cout << GridLogMessage << "GeneralisedMinimalResidual did NOT converge" << std::endl;
-
-    if (ErrorOnNoConverge)
-      assert(0);
-  }
-
-  RealD outerLoopBody(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi, RealD rsq) {
-
-    RealD cp = 0;
-
-    Field w(src.Grid());
-    Field r(src.Grid());
-
-    // this should probably be made a class member so that it is only allocated once, not in every restart
-    std::vector<Field> v(RestartLength + 1, src.Grid()); for (auto &elem : v) elem = Zero();
-
-    MatrixTimer.Start();
-    LinOp.Op(psi, w);
-    MatrixTimer.Stop();
-
-    LinalgTimer.Start();
-    r = src - w;
-
-    gamma[0] = sqrt(norm2(r));
-
-    v[0] = (1. / gamma[0]) * r;
-    LinalgTimer.Stop();
-
-    for (int i=0; i<RestartLength; i++) {
-
-      IterationCount++;
-
-      arnoldiStep(LinOp, v, w, i);
-
-      qrUpdate(i);
-
-      cp = norm(gamma[i+1]);
-
-      std::cout << GridLogIterative << "GeneralisedMinimalResidual: Iteration " << IterationCount
-                << " residual " << cp << " target " << rsq << std::endl;
-
-      if ((i == RestartLength - 1) || (IterationCount == MaxIterations) || (cp <= rsq)) {
-
-        computeSolution(v, psi, i);
-
-        return cp;
-      }
-    }
-
-    assert(0); // Never reached
-    return cp;
-  }
-
-  void arnoldiStep(LinearOperatorBase<Field> &LinOp, std::vector<Field> &v, Field &w, int iter) {
-
-    MatrixTimer.Start();
-    LinOp.Op(v[iter], w);
-    MatrixTimer.Stop();
-
-    LinalgTimer.Start();
-    for (int i = 0; i <= iter; ++i) {
-      H(iter, i) = innerProduct(v[i], w);
-      w = w - ComplexD(H(iter, i)) * v[i];
-    }
-
-    H(iter, iter + 1) = sqrt(norm2(w));
-    v[iter + 1] = ComplexD(1. / H(iter, iter + 1)) * w;
-    LinalgTimer.Stop();
-  }
-
-  void qrUpdate(int iter) {
-
-    QrTimer.Start();
-    for (int i = 0; i < iter ; ++i) {
-      auto tmp       = -s[i] * ComplexD(H(iter, i)) + c[i] * ComplexD(H(iter, i + 1));
-      H(iter, i)     = conjugate(c[i]) * ComplexD(H(iter, i)) + conjugate(s[i]) * ComplexD(H(iter, i + 1));
-      H(iter, i + 1) = tmp;
-    }
-
-    // Compute new Givens Rotation
-    auto nu = sqrt(std::norm(H(iter, iter)) + std::norm(H(iter, iter + 1)));
-    c[iter]     = H(iter, iter) / nu;
-    s[iter]     = H(iter, iter + 1) / nu;
-
-    // Apply new Givens rotation
-    H(iter, iter)     = nu;
-    H(iter, iter + 1) = 0.;
-
-    gamma[iter + 1] = -s[iter] * gamma[iter];
-    gamma[iter]     = conjugate(c[iter]) * gamma[iter];
-    QrTimer.Stop();
-  }
-
-  void computeSolution(std::vector<Field> const &v, Field &psi, int iter) {
-
-    CompSolutionTimer.Start();
-    for (int i = iter; i >= 0; i--) {
-      y[i] = gamma[i];
-      for (int k = i + 1; k <= iter; k++)
-        y[i] = y[i] - ComplexD(H(k, i)) * y[k];
-      y[i] = y[i] / ComplexD(H(i, i));
-    }
-
-    for (int i = 0; i <= iter; i++)
-      psi = psi + v[i] * y[i];
-    CompSolutionTimer.Stop();
-  }
-};
-}
-#endif

Grid/algorithms/iterative/ImplicitlyRestartedLanczos.h

@@ -1,736 +0,0 @@
-    /*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/iterative/ImplicitlyRestartedLanczos.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-Author: paboyle <paboyle@ph.ed.ac.uk>
-Author: Chulwoo Jung <chulwoo@bnl.gov>
-Author: Christoph Lehner <clehner@bnl.gov>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-    *************************************************************************************/
-    /*  END LEGAL */
-#ifndef GRID_BIRL_H
-#define GRID_BIRL_H
-
-#include <string.h> //memset
-//#include <zlib.h>
-#include <sys/stat.h>
-
-NAMESPACE_BEGIN(Grid); 
-
-/////////////////////////////////////////////////////////////
-// Implicitly restarted lanczos
-/////////////////////////////////////////////////////////////
-template<class Field> class ImplicitlyRestartedLanczosTester 
-{
- public:
-  virtual int TestConvergence(int j,RealD resid,Field &evec, RealD &eval,RealD evalMaxApprox)=0;
-  virtual int ReconstructEval(int j,RealD resid,Field &evec, RealD &eval,RealD evalMaxApprox)=0;
-};
-
-enum IRLdiagonalisation { 
-  IRLdiagonaliseWithDSTEGR,
-  IRLdiagonaliseWithQR,
-  IRLdiagonaliseWithEigen
-};
-
-template<class Field> class ImplicitlyRestartedLanczosHermOpTester  : public ImplicitlyRestartedLanczosTester<Field>
-{
- public:
-
-  LinearFunction<Field>       &_HermOp;
-  ImplicitlyRestartedLanczosHermOpTester(LinearFunction<Field> &HermOp) : _HermOp(HermOp)  {  };
-  int ReconstructEval(int j,RealD resid,Field &B, RealD &eval,RealD evalMaxApprox)
-  {
-    return TestConvergence(j,resid,B,eval,evalMaxApprox);
-  }
-  int TestConvergence(int j,RealD eresid,Field &B, RealD &eval,RealD evalMaxApprox)
-  {
-    Field v(B);
-    RealD eval_poly = eval;
-    // Apply operator
-    _HermOp(B,v);
-
-    RealD vnum = real(innerProduct(B,v)); // HermOp.
-    RealD vden = norm2(B);
-    RealD vv0  = norm2(v);
-    eval   = vnum/vden;
-    v -= eval*B;
-
-    RealD vv = norm2(v) / ::pow(evalMaxApprox,2.0);
-
-    std::cout.precision(13);
-    std::cout<<GridLogIRL  << "[" << std::setw(3)<<j<<"] "
-	     <<"eval = "<<std::setw(25)<< eval << " (" << eval_poly << ")"
-	     <<" |H B[i] - eval[i]B[i]|^2 / evalMaxApprox^2 " << std::setw(25) << vv
-	     <<std::endl;
-
-    int conv=0;
-    if( (vv<eresid*eresid) ) conv = 1;
-
-    return conv;
-  }
-};
-
-template<class Field> 
-class ImplicitlyRestartedLanczos {
- private:
-  const RealD small = 1.0e-8;
-  int MaxIter;
-  int MinRestart; // Minimum number of restarts; only check for convergence after
-  int Nstop;   // Number of evecs checked for convergence
-  int Nk;      // Number of converged sought
-  //  int Np;      // Np -- Number of spare vecs in krylov space //  == Nm - Nk
-  int Nm;      // Nm -- total number of vectors
-  IRLdiagonalisation diagonalisation;
-  int orth_period;
-    
-  RealD OrthoTime;
-  RealD eresid, betastp;
-  ////////////////////////////////
-  // Embedded objects
-  ////////////////////////////////
-  LinearFunction<Field>       &_PolyOp;
-  LinearFunction<Field>       &_HermOp;
-  ImplicitlyRestartedLanczosTester<Field> &_Tester;
-  // Default tester provided (we need a ref to something in default case)
-  ImplicitlyRestartedLanczosHermOpTester<Field> SimpleTester;
-  /////////////////////////
-  // Constructor
-  /////////////////////////
-  
-public:       
-
-  //////////////////////////////////////////////////////////////////
-  // PAB:
-  //////////////////////////////////////////////////////////////////
-  // Too many options  & knobs. 
-  // Eliminate:
-  //   orth_period
-  //   betastp
-  //   MinRestart
-  //
-  // Do we really need orth_period
-  // What is the theoretical basis & guarantees of betastp ?
-  // Nstop=Nk viable?
-  // MinRestart avoidable with new convergence test?
-  // Could cut to PolyOp, HermOp, Tester, Nk, Nm, resid, maxiter (+diagonalisation)
-  // HermOp could be eliminated if we dropped the Power method for max eval.
-  // -- also: The eval, eval2, eval2_copy stuff is still unnecessarily unclear
-  //////////////////////////////////////////////////////////////////
- ImplicitlyRestartedLanczos(LinearFunction<Field> & PolyOp,
-			    LinearFunction<Field> & HermOp,
-			    ImplicitlyRestartedLanczosTester<Field> & Tester,
-			    int _Nstop, // sought vecs
-			    int _Nk, // sought vecs
-			    int _Nm, // spare vecs
-			    RealD _eresid, // resid in lmdue deficit 
-			    int _MaxIter, // Max iterations
-			    RealD _betastp=0.0, // if beta(k) < betastp: converged
-			    int _MinRestart=0, int _orth_period = 1,
-			    IRLdiagonalisation _diagonalisation= IRLdiagonaliseWithEigen) :
-    SimpleTester(HermOp), _PolyOp(PolyOp),      _HermOp(HermOp), _Tester(Tester),
-    Nstop(_Nstop)  ,      Nk(_Nk),      Nm(_Nm),
-    eresid(_eresid),      betastp(_betastp),
-    MaxIter(_MaxIter)  ,      MinRestart(_MinRestart),
-    orth_period(_orth_period), diagonalisation(_diagonalisation)  { };
-
-    ImplicitlyRestartedLanczos(LinearFunction<Field> & PolyOp,
-			       LinearFunction<Field> & HermOp,
-			       int _Nstop, // sought vecs
-			       int _Nk, // sought vecs
-			       int _Nm, // spare vecs
-			       RealD _eresid, // resid in lmdue deficit 
-			       int _MaxIter, // Max iterations
-			       RealD _betastp=0.0, // if beta(k) < betastp: converged
-			       int _MinRestart=0, int _orth_period = 1,
-			       IRLdiagonalisation _diagonalisation= IRLdiagonaliseWithEigen) :
-    SimpleTester(HermOp),  _PolyOp(PolyOp),      _HermOp(HermOp), _Tester(SimpleTester),
-    Nstop(_Nstop)  ,      Nk(_Nk),      Nm(_Nm),
-    eresid(_eresid),      betastp(_betastp),
-    MaxIter(_MaxIter)  ,      MinRestart(_MinRestart),
-    orth_period(_orth_period), diagonalisation(_diagonalisation)  { };
-
-  ////////////////////////////////
-  // Helpers
-  ////////////////////////////////
-  template<typename T>  static RealD normalise(T& v) 
-  {
-    RealD nn = norm2(v);
-    nn = std::sqrt(nn);
-    v = v * (1.0/nn);
-    return nn;
-  }
-
-  void orthogonalize(Field& w, std::vector<Field>& evec,int k)
-  {
-    OrthoTime-=usecond()/1e6;
-    basisOrthogonalize(evec,w,k);
-    normalise(w);
-    OrthoTime+=usecond()/1e6;
-  }
-
-/* Rudy Arthur's thesis pp.137
-------------------------
-Require: M > K P = M − K †
-Compute the factorization AVM = VM HM + fM eM 
-repeat
-  Q=I
-  for i = 1,...,P do
-    QiRi =HM −θiI Q = QQi
-    H M = Q †i H M Q i
-  end for
-  βK =HM(K+1,K) σK =Q(M,K)
-  r=vK+1βK +rσK
-  VK =VM(1:M)Q(1:M,1:K)
-  HK =HM(1:K,1:K)
-  →AVK =VKHK +fKe†K † Extend to an M = K + P step factorization AVM = VMHM + fMeM
-until convergence
-*/
-  void calc(std::vector<RealD>& eval, std::vector<Field>& evec,  const Field& src, int& Nconv, bool reverse=false)
-  {
-    GridBase *grid = src.Grid();
-    assert(grid == evec[0].Grid());
-    
-    //    GridLogIRL.TimingMode(1);
-    std::cout << GridLogIRL <<"**************************************************************************"<< std::endl;
-    std::cout << GridLogIRL <<" ImplicitlyRestartedLanczos::calc() starting iteration 0 /  "<< MaxIter<< std::endl;
-    std::cout << GridLogIRL <<"**************************************************************************"<< std::endl;
-    std::cout << GridLogIRL <<" -- seek   Nk    = " << Nk    <<" vectors"<< std::endl;
-    std::cout << GridLogIRL <<" -- accept Nstop = " << Nstop <<" vectors"<< std::endl;
-    std::cout << GridLogIRL <<" -- total  Nm    = " << Nm    <<" vectors"<< std::endl;
-    std::cout << GridLogIRL <<" -- size of eval = " << eval.size() << std::endl;
-    std::cout << GridLogIRL <<" -- size of evec = " << evec.size() << std::endl;
-    if ( diagonalisation == IRLdiagonaliseWithDSTEGR ) {
-      std::cout << GridLogIRL << "Diagonalisation is DSTEGR "<<std::endl;
-    } else if ( diagonalisation == IRLdiagonaliseWithQR ) { 
-      std::cout << GridLogIRL << "Diagonalisation is QR "<<std::endl;
-    }  else if ( diagonalisation == IRLdiagonaliseWithEigen ) { 
-      std::cout << GridLogIRL << "Diagonalisation is Eigen "<<std::endl;
-    }
-    std::cout << GridLogIRL <<"**************************************************************************"<< std::endl;
-	
-    assert(Nm <= evec.size() && Nm <= eval.size());
-    
-    // quickly get an idea of the largest eigenvalue to more properly normalize the residuum
-    RealD evalMaxApprox = 0.0;
-    {
-      auto src_n = src;
-      auto tmp = src;
-      std::cout << GridLogIRL << " IRL source norm " << norm2(src) << std::endl;
-      const int _MAX_ITER_IRL_MEVAPP_ = 50;
-      for (int i=0;i<_MAX_ITER_IRL_MEVAPP_;i++) {
-	normalise(src_n);
-	_HermOp(src_n,tmp);
-	//	std::cout << GridLogMessage<< tmp<<std::endl; exit(0);
-	//	std::cout << GridLogIRL << " _HermOp " << norm2(tmp) << std::endl;
-	RealD vnum = real(innerProduct(src_n,tmp)); // HermOp.
-	RealD vden = norm2(src_n);
-	RealD na = vnum/vden;
-	if (fabs(evalMaxApprox/na - 1.0) < 0.0001)
-	  i=_MAX_ITER_IRL_MEVAPP_;
-	evalMaxApprox = na;
-	std::cout << GridLogIRL << " Approximation of largest eigenvalue: " << evalMaxApprox << std::endl;
-	src_n = tmp;
-      }
-    }
-	
-    std::vector<RealD> lme(Nm);  
-    std::vector<RealD> lme2(Nm);
-    std::vector<RealD> eval2(Nm);
-    std::vector<RealD> eval2_copy(Nm);
-    Eigen::MatrixXd Qt = Eigen::MatrixXd::Zero(Nm,Nm);
-
-    Field f(grid);
-    Field v(grid);
-    int k1 = 1;
-    int k2 = Nk;
-    RealD beta_k;
-
-    Nconv = 0;
-  
-    // Set initial vector
-    evec[0] = src;
-    normalise(evec[0]);
-	
-    // Initial Nk steps
-    OrthoTime=0.;
-    for(int k=0; k<Nk; ++k) step(eval,lme,evec,f,Nm,k);
-    std::cout<<GridLogIRL <<"Initial "<< Nk <<"steps done "<<std::endl;
-    std::cout<<GridLogIRL <<"Initial steps:OrthoTime "<<OrthoTime<< "seconds"<<std::endl;
-
-    //////////////////////////////////
-    // Restarting loop begins
-    //////////////////////////////////
-    int iter;
-    for(iter = 0; iter<MaxIter; ++iter){
-      
-      OrthoTime=0.;
-
-      std::cout<< GridLogMessage <<" **********************"<< std::endl;
-      std::cout<< GridLogMessage <<" Restart iteration = "<< iter << std::endl;
-      std::cout<< GridLogMessage <<" **********************"<< std::endl;
-
-      std::cout<<GridLogIRL <<" running "<<Nm-Nk <<" steps: "<<std::endl;
-      for(int k=Nk; k<Nm; ++k) step(eval,lme,evec,f,Nm,k);
-      f *= lme[Nm-1];
-
-      std::cout<<GridLogIRL <<" "<<Nm-Nk <<" steps done "<<std::endl;
-      std::cout<<GridLogIRL <<"Initial steps:OrthoTime "<<OrthoTime<< "seconds"<<std::endl;
-	  
-      //////////////////////////////////
-      // getting eigenvalues
-      //////////////////////////////////
-      for(int k=0; k<Nm; ++k){
-	eval2[k] = eval[k+k1-1];
-	lme2[k] = lme[k+k1-1];
-      }
-      Qt = Eigen::MatrixXd::Identity(Nm,Nm);
-      diagonalize(eval2,lme2,Nm,Nm,Qt,grid);
-      std::cout<<GridLogIRL <<" diagonalized "<<std::endl;
-
-      //////////////////////////////////
-      // sorting
-      //////////////////////////////////
-      eval2_copy = eval2;
-      std::partial_sort(eval2.begin(),eval2.begin()+Nm,eval2.end(),std::greater<RealD>());
-      std::cout<<GridLogIRL <<" evals sorted "<<std::endl;
-      const int chunk=8;
-      for(int io=0; io<k2;io+=chunk){
-	std::cout<<GridLogIRL << "eval "<< std::setw(3) << io ;
-	for(int ii=0;ii<chunk;ii++){
-	  if ( (io+ii)<k2 )
-	    std::cout<< " "<< std::setw(12)<< eval2[io+ii];
-	}
-	std::cout << std::endl;
-      }
-
-      //////////////////////////////////
-      // Implicitly shifted QR transformations
-      //////////////////////////////////
-      Qt = Eigen::MatrixXd::Identity(Nm,Nm);
-      for(int ip=k2; ip<Nm; ++ip){ 
-	QR_decomp(eval,lme,Nm,Nm,Qt,eval2[ip],k1,Nm);
-      }
-      std::cout<<GridLogIRL <<"QR decomposed "<<std::endl;
-
-      assert(k2<Nm);      assert(k2<Nm);      assert(k1>0);
-
-      basisRotate(evec,Qt,k1-1,k2+1,0,Nm,Nm); /// big constraint on the basis
-      std::cout<<GridLogIRL <<"basisRotated  by Qt *"<<k1-1<<","<<k2+1<<")"<<std::endl;
-      
-      ////////////////////////////////////////////////////
-      // Compressed vector f and beta(k2)
-      ////////////////////////////////////////////////////
-      f *= Qt(k2-1,Nm-1);
-      f += lme[k2-1] * evec[k2];
-      beta_k = norm2(f);
-      beta_k = std::sqrt(beta_k);
-      std::cout<<GridLogIRL<<" beta(k) = "<<beta_k<<std::endl;
-	  
-      RealD betar = 1.0/beta_k;
-      evec[k2] = betar * f;
-      lme[k2-1] = beta_k;
-	  
-      ////////////////////////////////////////////////////
-      // Convergence test
-      ////////////////////////////////////////////////////
-      for(int k=0; k<Nm; ++k){    
-	eval2[k] = eval[k];
-	lme2[k] = lme[k];
-      }
-      Qt = Eigen::MatrixXd::Identity(Nm,Nm);
-      diagonalize(eval2,lme2,Nk,Nm,Qt,grid);
-      std::cout<<GridLogIRL <<" Diagonalized "<<std::endl;
-	  
-      Nconv = 0;
-      if (iter >= MinRestart) {
-
-	std::cout << GridLogIRL << "Test convergence: rotate subset of vectors to test convergence " << std::endl;
-
-	Field B(grid); B.Checkerboard() = evec[0].Checkerboard();
-
-	//  power of two search pattern;  not every evalue in eval2 is assessed.
-	int allconv =1;
-	for(int jj = 1; jj<=Nstop; jj*=2){
-	  int j = Nstop-jj;
-	  RealD e = eval2_copy[j]; // Discard the evalue
-	  basisRotateJ(B,evec,Qt,j,0,Nk,Nm);	    
-	  if( !_Tester.TestConvergence(j,eresid,B,e,evalMaxApprox) ) {
-	    allconv=0;
-	  }
-	}
-	// Do evec[0] for good measure
-	{ 
-	  int j=0;
-	  RealD e = eval2_copy[0]; 
-	  basisRotateJ(B,evec,Qt,j,0,Nk,Nm);	    
-	  if( !_Tester.TestConvergence(j,eresid,B,e,evalMaxApprox) ) allconv=0;
-	}
-	if ( allconv ) Nconv = Nstop;
-
-	// test if we converged, if so, terminate
-	std::cout<<GridLogIRL<<" #modes converged: >= "<<Nconv<<"/"<<Nstop<<std::endl;
-	//	if( Nconv>=Nstop || beta_k < betastp){
-	if( Nconv>=Nstop){
-	  goto converged;
-	}
-	  
-      } else {
-	std::cout << GridLogIRL << "iter < MinRestart: do not yet test for convergence\n";
-      } // end of iter loop
-    }
-
-    std::cout<<GridLogError<<"\n NOT converged.\n";
-    abort();
-	
-  converged:
-    {
-      Field B(grid); B.Checkerboard() = evec[0].Checkerboard();
-      basisRotate(evec,Qt,0,Nk,0,Nk,Nm);	    
-      std::cout << GridLogIRL << " Rotated basis"<<std::endl;
-      Nconv=0;
-      //////////////////////////////////////////////////////////////////////
-      // Full final convergence test; unconditionally applied
-      //////////////////////////////////////////////////////////////////////
-      for(int j = 0; j<=Nk; j++){
-	B=evec[j];
-	if( _Tester.ReconstructEval(j,eresid,B,eval2[j],evalMaxApprox) ) {
-	  Nconv++;
-	}
-      }
-
-      if ( Nconv < Nstop )
-	std::cout << GridLogIRL << "Nconv ("<<Nconv<<") < Nstop ("<<Nstop<<")"<<std::endl;
-
-      eval=eval2;
-      
-      //Keep only converged
-      eval.resize(Nconv);// Nstop?
-      evec.resize(Nconv,grid);// Nstop?
-      basisSortInPlace(evec,eval,reverse);
-      
-    }
-       
-    std::cout << GridLogIRL <<"**************************************************************************"<< std::endl;
-    std::cout << GridLogIRL << "ImplicitlyRestartedLanczos CONVERGED ; Summary :\n";
-    std::cout << GridLogIRL <<"**************************************************************************"<< std::endl;
-    std::cout << GridLogIRL << " -- Iterations  = "<< iter   << "\n";
-    std::cout << GridLogIRL << " -- beta(k)     = "<< beta_k << "\n";
-    std::cout << GridLogIRL << " -- Nconv       = "<< Nconv  << "\n";
-    std::cout << GridLogIRL <<"**************************************************************************"<< std::endl;
-  }
-
- private:
-/* Saad PP. 195
-1. Choose an initial vector v1 of 2-norm unity. Set β1 ≡ 0, v0 ≡ 0
-2. For k = 1,2,...,m Do:
-3. wk:=Avk - b_k v_{k-1}      
-4. ak:=(wk,vk)       // 
-5. wk:=wk-akvk       // wk orthog vk 
-6. bk+1 := ||wk||_2. If b_k+1 = 0 then Stop
-7. vk+1 := wk/b_k+1
-8. EndDo
- */
-  void step(std::vector<RealD>& lmd,
-	    std::vector<RealD>& lme, 
-	    std::vector<Field>& evec,
-	    Field& w,int Nm,int k)
-  {
-    std::cout<<GridLogIRL << "Lanczos step " <<k<<std::endl;
-    const RealD tiny = 1.0e-20;
-    assert( k< Nm );
-
-    GridStopWatch gsw_op,gsw_o;
-
-    Field& evec_k = evec[k];
-
-    _PolyOp(evec_k,w);    std::cout<<GridLogIRL << "PolyOp" <<std::endl;
-
-    if(k>0) w -= lme[k-1] * evec[k-1];
-
-    ComplexD zalph = innerProduct(evec_k,w);
-    RealD     alph = real(zalph);
-
-    w = w - alph * evec_k;
-
-    RealD beta = normalise(w); 
-
-    lmd[k] = alph;
-    lme[k] = beta;
-
-    if ( (k>0) && ( (k % orth_period) == 0 )) {
-      std::cout<<GridLogIRL << "Orthogonalising " <<k<<std::endl;
-      orthogonalize(w,evec,k); // orthonormalise
-      std::cout<<GridLogIRL << "Orthogonalised " <<k<<std::endl;
-    }
-
-    if(k < Nm-1) evec[k+1] = w;
-
-    std::cout<<GridLogIRL << "alpha[" << k << "] = " << zalph << " beta[" << k << "] = "<<beta<<std::endl;
-    if ( beta < tiny ) 
-      std::cout<<GridLogIRL << " beta is tiny "<<beta<<std::endl;
-
-    std::cout<<GridLogIRL << "Lanczos step complete " <<k<<std::endl;
-  }
-
-  void diagonalize_Eigen(std::vector<RealD>& lmd, std::vector<RealD>& lme, 
-			 int Nk, int Nm,  
-			 Eigen::MatrixXd & Qt, // Nm x Nm
-			 GridBase *grid)
-  {
-    Eigen::MatrixXd TriDiag = Eigen::MatrixXd::Zero(Nk,Nk);
-
-    for(int i=0;i<Nk;i++)   TriDiag(i,i)   = lmd[i];
-    for(int i=0;i<Nk-1;i++) TriDiag(i,i+1) = lme[i];
-    for(int i=0;i<Nk-1;i++) TriDiag(i+1,i) = lme[i];
-    
-    Eigen::SelfAdjointEigenSolver<Eigen::MatrixXd> eigensolver(TriDiag);
-
-    for (int i = 0; i < Nk; i++) {
-      lmd[Nk-1-i] = eigensolver.eigenvalues()(i);
-    }
-    for (int i = 0; i < Nk; i++) {
-      for (int j = 0; j < Nk; j++) {
-	Qt(Nk-1-i,j) = eigensolver.eigenvectors()(j,i);
-      }
-    }
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // File could end here if settle on Eigen ??? !!!
-  ///////////////////////////////////////////////////////////////////////////
-  void QR_decomp(std::vector<RealD>& lmd,   // Nm 
-		 std::vector<RealD>& lme,   // Nm 
-		 int Nk, int Nm,            // Nk, Nm
-		 Eigen::MatrixXd& Qt,       // Nm x Nm matrix
-		 RealD Dsh, int kmin, int kmax)
-  {
-    int k = kmin-1;
-    RealD x;
-    
-    RealD Fden = 1.0/hypot(lmd[k]-Dsh,lme[k]);
-    RealD c = ( lmd[k] -Dsh) *Fden;
-    RealD s = -lme[k] *Fden;
-      
-    RealD tmpa1 = lmd[k];
-    RealD tmpa2 = lmd[k+1];
-    RealD tmpb  = lme[k];
-
-    lmd[k]   = c*c*tmpa1 +s*s*tmpa2 -2.0*c*s*tmpb;
-    lmd[k+1] = s*s*tmpa1 +c*c*tmpa2 +2.0*c*s*tmpb;
-    lme[k]   = c*s*(tmpa1-tmpa2) +(c*c-s*s)*tmpb;
-    x        =-s*lme[k+1];
-    lme[k+1] = c*lme[k+1];
-      
-    for(int i=0; i<Nk; ++i){
-      RealD Qtmp1 = Qt(k,i);
-      RealD Qtmp2 = Qt(k+1,i);
-      Qt(k,i)  = c*Qtmp1 - s*Qtmp2;
-      Qt(k+1,i)= s*Qtmp1 + c*Qtmp2; 
-    }
-
-    // Givens transformations
-    for(int k = kmin; k < kmax-1; ++k){
-      
-      RealD Fden = 1.0/hypot(x,lme[k-1]);
-      RealD c = lme[k-1]*Fden;
-      RealD s = - x*Fden;
-	
-      RealD tmpa1 = lmd[k];
-      RealD tmpa2 = lmd[k+1];
-      RealD tmpb  = lme[k];
-
-      lmd[k]   = c*c*tmpa1 +s*s*tmpa2 -2.0*c*s*tmpb;
-      lmd[k+1] = s*s*tmpa1 +c*c*tmpa2 +2.0*c*s*tmpb;
-      lme[k]   = c*s*(tmpa1-tmpa2) +(c*c-s*s)*tmpb;
-      lme[k-1] = c*lme[k-1] -s*x;
-
-      if(k != kmax-2){
-	x = -s*lme[k+1];
-	lme[k+1] = c*lme[k+1];
-      }
-
-      for(int i=0; i<Nk; ++i){
-	RealD Qtmp1 = Qt(k,i);
-	RealD Qtmp2 = Qt(k+1,i);
-	Qt(k,i)     = c*Qtmp1 -s*Qtmp2;
-	Qt(k+1,i)   = s*Qtmp1 +c*Qtmp2;
-      }
-    }
-  }
-
-  void diagonalize(std::vector<RealD>& lmd, std::vector<RealD>& lme, 
-		   int Nk, int Nm,   
-		   Eigen::MatrixXd & Qt,
-		   GridBase *grid)
-  {
-    Qt = Eigen::MatrixXd::Identity(Nm,Nm);
-    if ( diagonalisation == IRLdiagonaliseWithDSTEGR ) {
-      diagonalize_lapack(lmd,lme,Nk,Nm,Qt,grid);
-    } else if ( diagonalisation == IRLdiagonaliseWithQR ) { 
-      diagonalize_QR(lmd,lme,Nk,Nm,Qt,grid);
-    }  else if ( diagonalisation == IRLdiagonaliseWithEigen ) { 
-      diagonalize_Eigen(lmd,lme,Nk,Nm,Qt,grid);
-    } else { 
-      assert(0);
-    }
-  }
-
-#ifdef USE_LAPACK
-void LAPACK_dstegr(char *jobz, char *range, int *n, double *d, double *e,
-                   double *vl, double *vu, int *il, int *iu, double *abstol,
-                   int *m, double *w, double *z, int *ldz, int *isuppz,
-                   double *work, int *lwork, int *iwork, int *liwork,
-                   int *info);
-#endif
-
-void diagonalize_lapack(std::vector<RealD>& lmd,
-			std::vector<RealD>& lme, 
-			int Nk, int Nm,  
-			Eigen::MatrixXd& Qt,
-			GridBase *grid)
-{
-#ifdef USE_LAPACK
-  const int size = Nm;
-  int NN = Nk;
-  double evals_tmp[NN];
-  double evec_tmp[NN][NN];
-  memset(evec_tmp[0],0,sizeof(double)*NN*NN);
-  double DD[NN];
-  double EE[NN];
-  for (int i = 0; i< NN; i++) {
-    for (int j = i - 1; j <= i + 1; j++) {
-      if ( j < NN && j >= 0 ) {
-	if (i==j) DD[i] = lmd[i];
-	if (i==j) evals_tmp[i] = lmd[i];
-	if (j==(i-1)) EE[j] = lme[j];
-      }
-    }
-  }
-  int evals_found;
-  int lwork = ( (18*NN) > (1+4*NN+NN*NN)? (18*NN):(1+4*NN+NN*NN)) ;
-  int liwork =  3+NN*10 ;
-  int iwork[liwork];
-  double work[lwork];
-  int isuppz[2*NN];
-  char jobz = 'V'; // calculate evals & evecs
-  char range = 'I'; // calculate all evals
-  //    char range = 'A'; // calculate all evals
-  char uplo = 'U'; // refer to upper half of original matrix
-  char compz = 'I'; // Compute eigenvectors of tridiagonal matrix
-  int ifail[NN];
-  int info;
-  int total = grid->_Nprocessors;
-  int node  = grid->_processor;
-  int interval = (NN/total)+1;
-  double vl = 0.0, vu = 0.0;
-  int il = interval*node+1 , iu = interval*(node+1);
-  if (iu > NN)  iu=NN;
-  double tol = 0.0;
-  if (1) {
-    memset(evals_tmp,0,sizeof(double)*NN);
-    if ( il <= NN){
-      LAPACK_dstegr(&jobz, &range, &NN,
-		    (double*)DD, (double*)EE,
-		    &vl, &vu, &il, &iu, // these four are ignored if second parameteris 'A'
-		    &tol, // tolerance
-		    &evals_found, evals_tmp, (double*)evec_tmp, &NN,
-		    isuppz,
-		    work, &lwork, iwork, &liwork,
-		    &info);
-      for (int i = iu-1; i>= il-1; i--){
-	evals_tmp[i] = evals_tmp[i - (il-1)];
-	if (il>1) evals_tmp[i-(il-1)]=0.;
-	for (int j = 0; j< NN; j++){
-	  evec_tmp[i][j] = evec_tmp[i - (il-1)][j];
-	  if (il>1) evec_tmp[i-(il-1)][j]=0.;
-	}
-      }
-    }
-    {
-      grid->GlobalSumVector(evals_tmp,NN);
-      grid->GlobalSumVector((double*)evec_tmp,NN*NN);
-    }
-  } 
-  // Safer to sort instead of just reversing it, 
-  // but the document of the routine says evals are sorted in increasing order. 
-  // qr gives evals in decreasing order.
-  for(int i=0;i<NN;i++){
-    lmd [NN-1-i]=evals_tmp[i];
-    for(int j=0;j<NN;j++){
-      Qt((NN-1-i),j)=evec_tmp[i][j];
-    }
-  }
-#else 
-  assert(0);
-#endif
-}
-
-void diagonalize_QR(std::vector<RealD>& lmd, std::vector<RealD>& lme, 
-		    int Nk, int Nm,   
-		    Eigen::MatrixXd & Qt,
-		    GridBase *grid)
-{
-  int QRiter = 100*Nm;
-  int kmin = 1;
-  int kmax = Nk;
-  
-  // (this should be more sophisticated)
-  for(int iter=0; iter<QRiter; ++iter){
-    
-    // determination of 2x2 leading submatrix
-    RealD dsub = lmd[kmax-1]-lmd[kmax-2];
-    RealD dd = std::sqrt(dsub*dsub + 4.0*lme[kmax-2]*lme[kmax-2]);
-    RealD Dsh = 0.5*(lmd[kmax-2]+lmd[kmax-1] +dd*(dsub/fabs(dsub)));
-    // (Dsh: shift)
-    
-    // transformation
-    QR_decomp(lmd,lme,Nk,Nm,Qt,Dsh,kmin,kmax); // Nk, Nm
-    
-    // Convergence criterion (redef of kmin and kamx)
-    for(int j=kmax-1; j>= kmin; --j){
-      RealD dds = fabs(lmd[j-1])+fabs(lmd[j]);
-      if(fabs(lme[j-1])+dds > dds){
-	kmax = j+1;
-	goto continued;
-      }
-    }
-    QRiter = iter;
-    return;
-    
-  continued:
-    for(int j=0; j<kmax-1; ++j){
-      RealD dds = fabs(lmd[j])+fabs(lmd[j+1]);
-      if(fabs(lme[j])+dds > dds){
-	kmin = j+1;
-	break;
-      }
-    }
-  }
-  std::cout << GridLogError << "[QL method] Error - Too many iteration: "<<QRiter<<"\n";
-  abort();
-}
-};
-
-NAMESPACE_END(Grid);
-#endif

Grid/algorithms/iterative/LocalCoherenceLanczos.h

@@ -1,409 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/iterative/LocalCoherenceLanczos.h
-
-    Copyright (C) 2015
-
-Author: Christoph Lehner <clehner@bnl.gov>
-Author: paboyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_LOCAL_COHERENCE_IRL_H
-#define GRID_LOCAL_COHERENCE_IRL_H
-
-NAMESPACE_BEGIN(Grid); 
-
-struct LanczosParams : Serializable {
-public:
-  GRID_SERIALIZABLE_CLASS_MEMBERS(LanczosParams,
-				  ChebyParams, Cheby,/*Chebyshev*/
-				  int, Nstop,    /*Vecs in Lanczos must converge Nstop < Nk < Nm*/
-				  int, Nk,       /*Vecs in Lanczos seek converge*/
-				  int, Nm,       /*Total vecs in Lanczos include restart*/
-				  RealD, resid,  /*residual*/
- 				  int, MaxIt, 
-				  RealD, betastp,  /* ? */
-				  int, MinRes);    // Must restart
-};
-
-struct LocalCoherenceLanczosParams : Serializable {
-public:
-  GRID_SERIALIZABLE_CLASS_MEMBERS(LocalCoherenceLanczosParams,
-				  bool, saveEvecs,
-				  bool, doFine,
-				  bool, doFineRead,
-				  bool, doCoarse,
-	       			  bool, doCoarseRead,
-				  LanczosParams, FineParams,
-				  LanczosParams, CoarseParams,
-				  ChebyParams,   Smoother,
-				  RealD        , coarse_relax_tol,
-				  std::vector<int>, blockSize,
-				  std::string, config,
-				  std::vector < ComplexD  >, omega,
-				  RealD, mass,
-				  RealD, M5);
-};
-
-// Duplicate functionality; ProjectedFunctionHermOp could be used with the trivial function
-template<class Fobj,class CComplex,int nbasis>
-class ProjectedHermOp : public LinearFunction<Lattice<iVector<CComplex,nbasis > > > {
-public:
-  typedef iVector<CComplex,nbasis >           CoarseSiteVector;
-  typedef Lattice<CoarseSiteVector>           CoarseField;
-  typedef Lattice<CComplex>   CoarseScalar; // used for inner products on fine field
-  typedef Lattice<Fobj>          FineField;
-
-  LinearOperatorBase<FineField> &_Linop;
-  std::vector<FineField>        &subspace;
-
-  ProjectedHermOp(LinearOperatorBase<FineField>& linop, std::vector<FineField> & _subspace) : 
-    _Linop(linop), subspace(_subspace)
-  {  
-    assert(subspace.size() >0);
-  };
-
-  void operator()(const CoarseField& in, CoarseField& out) {
-    GridBase *FineGrid = subspace[0].Grid();    
-    int   checkerboard = subspace[0].Checkerboard();
-
-    FineField fin (FineGrid);     fin.Checkerboard()= checkerboard;
-    FineField fout(FineGrid);   fout.Checkerboard() = checkerboard;
-
-    blockPromote(in,fin,subspace);       std::cout<<GridLogIRL<<"ProjectedHermop : Promote to fine"<<std::endl;
-    _Linop.HermOp(fin,fout);                   std::cout<<GridLogIRL<<"ProjectedHermop : HermOp (fine) "<<std::endl;
-    blockProject(out,fout,subspace);     std::cout<<GridLogIRL<<"ProjectedHermop : Project to coarse "<<std::endl;
-  }
-};
-
-template<class Fobj,class CComplex,int nbasis>
-class ProjectedFunctionHermOp : public LinearFunction<Lattice<iVector<CComplex,nbasis > > > {
-public:
-  typedef iVector<CComplex,nbasis >           CoarseSiteVector;
-  typedef Lattice<CoarseSiteVector>           CoarseField;
-  typedef Lattice<CComplex>   CoarseScalar; // used for inner products on fine field
-  typedef Lattice<Fobj>          FineField;
-
-
-  OperatorFunction<FineField>   & _poly;
-  LinearOperatorBase<FineField> &_Linop;
-  std::vector<FineField>        &subspace;
-
-  ProjectedFunctionHermOp(OperatorFunction<FineField> & poly,
-			  LinearOperatorBase<FineField>& linop, 
-			  std::vector<FineField> & _subspace) :
-    _poly(poly),
-    _Linop(linop),
-    subspace(_subspace)
-  {  };
-
-  void operator()(const CoarseField& in, CoarseField& out) {
-
-    GridBase *FineGrid = subspace[0].Grid();    
-    int   checkerboard = subspace[0].Checkerboard();
-
-    FineField fin (FineGrid); fin.Checkerboard() =checkerboard;
-    FineField fout(FineGrid);fout.Checkerboard() =checkerboard;
-    
-    blockPromote(in,fin,subspace);             std::cout<<GridLogIRL<<"ProjectedFunctionHermop : Promote to fine"<<std::endl;
-    _poly(_Linop,fin,fout);                    std::cout<<GridLogIRL<<"ProjectedFunctionHermop : Poly "<<std::endl;
-    blockProject(out,fout,subspace);           std::cout<<GridLogIRL<<"ProjectedFunctionHermop : Project to coarse "<<std::endl;
-  }
-};
-
-template<class Fobj,class CComplex,int nbasis>
-class ImplicitlyRestartedLanczosSmoothedTester  : public ImplicitlyRestartedLanczosTester<Lattice<iVector<CComplex,nbasis > > >
-{
-public:
-  typedef iVector<CComplex,nbasis >           CoarseSiteVector;
-  typedef Lattice<CoarseSiteVector>           CoarseField;
-  typedef Lattice<CComplex>   CoarseScalar; // used for inner products on fine field
-  typedef Lattice<Fobj>          FineField;
-
-  LinearFunction<CoarseField> & _Poly;
-  OperatorFunction<FineField>   & _smoother;
-  LinearOperatorBase<FineField> &_Linop;
-  RealD                             _coarse_relax_tol;
-  std::vector<FineField>        &_subspace;
-  
-  ImplicitlyRestartedLanczosSmoothedTester(LinearFunction<CoarseField>   &Poly,
-					   OperatorFunction<FineField>   &smoother,
-					   LinearOperatorBase<FineField> &Linop,
-					   std::vector<FineField>        &subspace,
-					   RealD coarse_relax_tol=5.0e3) 
-    : _smoother(smoother), _Linop(Linop), _Poly(Poly), _subspace(subspace),
-      _coarse_relax_tol(coarse_relax_tol)  
-  {    };
-
-  int TestConvergence(int j,RealD eresid,CoarseField &B, RealD &eval,RealD evalMaxApprox)
-  {
-    CoarseField v(B);
-    RealD eval_poly = eval;
-
-    // Apply operator
-    _Poly(B,v);
-
-    RealD vnum = real(innerProduct(B,v)); // HermOp.
-    RealD vden = norm2(B);
-    RealD vv0  = norm2(v);
-    eval   = vnum/vden;
-    v -= eval*B;
-
-    RealD vv = norm2(v) / ::pow(evalMaxApprox,2.0);
-
-    std::cout.precision(13);
-    std::cout<<GridLogIRL  << "[" << std::setw(3)<<j<<"] "
-	     <<"eval = "<<std::setw(25)<< eval << " (" << eval_poly << ")"
-	     <<" |H B[i] - eval[i]B[i]|^2 / evalMaxApprox^2 " << std::setw(25) << vv
-	     <<std::endl;
-
-    int conv=0;
-    if( (vv<eresid*eresid) ) conv = 1;
-    return conv;
-  }
-  int ReconstructEval(int j,RealD eresid,CoarseField &B, RealD &eval,RealD evalMaxApprox)
-  {
-    GridBase *FineGrid = _subspace[0].Grid();    
-    int checkerboard   = _subspace[0].Checkerboard();
-    FineField fB(FineGrid);fB.Checkerboard() =checkerboard;
-    FineField fv(FineGrid);fv.Checkerboard() =checkerboard;
-
-    blockPromote(B,fv,_subspace);  
-    
-    _smoother(_Linop,fv,fB); 
-
-    RealD eval_poly = eval;
-    _Linop.HermOp(fB,fv);
-
-    RealD vnum = real(innerProduct(fB,fv)); // HermOp.
-    RealD vden = norm2(fB);
-    RealD vv0  = norm2(fv);
-    eval   = vnum/vden;
-    fv -= eval*fB;
-    RealD vv = norm2(fv) / ::pow(evalMaxApprox,2.0);
-
-    std::cout.precision(13);
-    std::cout<<GridLogIRL  << "[" << std::setw(3)<<j<<"] "
-	     <<"eval = "<<std::setw(25)<< eval << " (" << eval_poly << ")"
-	     <<" |H B[i] - eval[i]B[i]|^2 / evalMaxApprox^2 " << std::setw(25) << vv
-	     <<std::endl;
-    if ( j > nbasis ) eresid = eresid*_coarse_relax_tol;
-    if( (vv<eresid*eresid) ) return 1;
-    return 0;
-  }
-};
-
-////////////////////////////////////////////
-// Make serializable Lanczos params
-////////////////////////////////////////////
-template<class Fobj,class CComplex,int nbasis>
-class LocalCoherenceLanczos 
-{
-public:
-  typedef iVector<CComplex,nbasis >           CoarseSiteVector;
-  typedef Lattice<CComplex>                   CoarseScalar; // used for inner products on fine field
-  typedef Lattice<CoarseSiteVector>           CoarseField;
-  typedef Lattice<Fobj>                       FineField;
-
-protected:
-  GridBase *_CoarseGrid;
-  GridBase *_FineGrid;
-  int _checkerboard;
-  LinearOperatorBase<FineField>                 & _FineOp;
-  
-  std::vector<RealD>                              &evals_fine;
-  std::vector<RealD>                              &evals_coarse; 
-  std::vector<FineField>                          &subspace;
-  std::vector<CoarseField>                        &evec_coarse;
-
-private:
-  std::vector<RealD>                              _evals_fine;
-  std::vector<RealD>                              _evals_coarse; 
-  std::vector<FineField>                          _subspace;
-  std::vector<CoarseField>                        _evec_coarse;
-
-public:
-
-  LocalCoherenceLanczos(GridBase *FineGrid,
-			GridBase *CoarseGrid,
-			LinearOperatorBase<FineField> &FineOp,
-			int checkerboard) :
-    _CoarseGrid(CoarseGrid),
-    _FineGrid(FineGrid),
-    _FineOp(FineOp),
-    _checkerboard(checkerboard),
-    evals_fine  (_evals_fine),
-    evals_coarse(_evals_coarse),
-    subspace    (_subspace),
-    evec_coarse(_evec_coarse)
-  {
-    evals_fine.resize(0);
-    evals_coarse.resize(0);
-  };
-  //////////////////////////////////////////////////////////////////////////
-  // Alternate constructore, external storage for use by Hadrons module
-  //////////////////////////////////////////////////////////////////////////
-  LocalCoherenceLanczos(GridBase *FineGrid,
-			GridBase *CoarseGrid,
-			LinearOperatorBase<FineField> &FineOp,
-			int checkerboard,
-			std::vector<FineField>   &ext_subspace,
-			std::vector<CoarseField> &ext_coarse,
-			std::vector<RealD>       &ext_eval_fine,
-			std::vector<RealD>       &ext_eval_coarse
-			) :
-    _CoarseGrid(CoarseGrid),
-    _FineGrid(FineGrid),
-    _FineOp(FineOp),
-    _checkerboard(checkerboard),
-    evals_fine  (ext_eval_fine), 
-    evals_coarse(ext_eval_coarse),
-    subspace    (ext_subspace),
-    evec_coarse (ext_coarse)
-  {
-    evals_fine.resize(0);
-    evals_coarse.resize(0);
-  };
-
-  void Orthogonalise(void ) {
-    CoarseScalar InnerProd(_CoarseGrid);
-    std::cout << GridLogMessage <<" Gramm-Schmidt pass 1"<<std::endl;
-    blockOrthogonalise(InnerProd,subspace);
-    std::cout << GridLogMessage <<" Gramm-Schmidt pass 2"<<std::endl;
-    blockOrthogonalise(InnerProd,subspace);
-  };
-
-  template<typename T>  static RealD normalise(T& v) 
-  {
-    RealD nn = norm2(v);
-    nn = ::sqrt(nn);
-    v = v * (1.0/nn);
-    return nn;
-  }
-  /*
-  void fakeFine(void)
-  {
-    int Nk = nbasis;
-    subspace.resize(Nk,_FineGrid);
-    subspace[0]=1.0;
-    subspace[0].Checkerboard()=_checkerboard;
-    normalise(subspace[0]);
-    PlainHermOp<FineField>    Op(_FineOp);
-    for(int k=1;k<Nk;k++){
-      subspace[k].Checkerboard()=_checkerboard;
-      Op(subspace[k-1],subspace[k]);
-      normalise(subspace[k]);
-    }
-  }
-  */
-
-  void testFine(RealD resid) 
-  {
-    assert(evals_fine.size() == nbasis);
-    assert(subspace.size() == nbasis);
-    PlainHermOp<FineField>    Op(_FineOp);
-    ImplicitlyRestartedLanczosHermOpTester<FineField> SimpleTester(Op);
-    for(int k=0;k<nbasis;k++){
-      assert(SimpleTester.ReconstructEval(k,resid,subspace[k],evals_fine[k],1.0)==1);
-    }
-  }
-
-  void testCoarse(RealD resid,ChebyParams cheby_smooth,RealD relax) 
-  {
-    assert(evals_fine.size() == nbasis);
-    assert(subspace.size() == nbasis);
-    //////////////////////////////////////////////////////////////////////////////////////////////////
-    // create a smoother and see if we can get a cheap convergence test and smooth inside the IRL
-    //////////////////////////////////////////////////////////////////////////////////////////////////
-    Chebyshev<FineField>                          ChebySmooth(cheby_smooth);
-    ProjectedFunctionHermOp<Fobj,CComplex,nbasis> ChebyOp (ChebySmooth,_FineOp,subspace);
-    ImplicitlyRestartedLanczosSmoothedTester<Fobj,CComplex,nbasis> ChebySmoothTester(ChebyOp,ChebySmooth,_FineOp,subspace,relax);
-
-    for(int k=0;k<evec_coarse.size();k++){
-      if ( k < nbasis ) { 
-	assert(ChebySmoothTester.ReconstructEval(k,resid,evec_coarse[k],evals_coarse[k],1.0)==1);
-      } else { 
-	assert(ChebySmoothTester.ReconstructEval(k,resid*relax,evec_coarse[k],evals_coarse[k],1.0)==1);
-      }
-    }
-  }
-
-  void calcFine(ChebyParams cheby_parms,int Nstop,int Nk,int Nm,RealD resid, 
-		RealD MaxIt, RealD betastp, int MinRes)
-  {
-    assert(nbasis<=Nm);
-    Chebyshev<FineField>      Cheby(cheby_parms);
-    FunctionHermOp<FineField> ChebyOp(Cheby,_FineOp);
-    PlainHermOp<FineField>    Op(_FineOp);
-
-    evals_fine.resize(Nm);
-    subspace.resize(Nm,_FineGrid);
-
-    ImplicitlyRestartedLanczos<FineField> IRL(ChebyOp,Op,Nstop,Nk,Nm,resid,MaxIt,betastp,MinRes);
-
-    FineField src(_FineGrid); 
-    typedef typename FineField::scalar_type Scalar;
-    // src=1.0; 
-    src=Scalar(1.0); 
-    src.Checkerboard() = _checkerboard;
-
-    int Nconv;
-    IRL.calc(evals_fine,subspace,src,Nconv,false);
-    
-    // Shrink down to number saved
-    assert(Nstop>=nbasis);
-    assert(Nconv>=nbasis);
-    evals_fine.resize(nbasis);
-    subspace.resize(nbasis,_FineGrid);
-  }
-  void calcCoarse(ChebyParams cheby_op,ChebyParams cheby_smooth,RealD relax,
-		  int Nstop, int Nk, int Nm,RealD resid, 
-		  RealD MaxIt, RealD betastp, int MinRes)
-  {
-    Chebyshev<FineField>                          Cheby(cheby_op);
-    ProjectedHermOp<Fobj,CComplex,nbasis>         Op(_FineOp,subspace);
-    ProjectedFunctionHermOp<Fobj,CComplex,nbasis> ChebyOp (Cheby,_FineOp,subspace);
-    //////////////////////////////////////////////////////////////////////////////////////////////////
-    // create a smoother and see if we can get a cheap convergence test and smooth inside the IRL
-    //////////////////////////////////////////////////////////////////////////////////////////////////
-
-    Chebyshev<FineField>                                           ChebySmooth(cheby_smooth);
-    ImplicitlyRestartedLanczosSmoothedTester<Fobj,CComplex,nbasis> ChebySmoothTester(ChebyOp,ChebySmooth,_FineOp,subspace,relax);
-
-    evals_coarse.resize(Nm);
-    evec_coarse.resize(Nm,_CoarseGrid);
-
-    CoarseField src(_CoarseGrid);     src=1.0; 
-
-    ImplicitlyRestartedLanczos<CoarseField> IRL(ChebyOp,ChebyOp,ChebySmoothTester,Nstop,Nk,Nm,resid,MaxIt,betastp,MinRes);
-    int Nconv=0;
-    IRL.calc(evals_coarse,evec_coarse,src,Nconv,false);
-    assert(Nconv>=Nstop);
-    evals_coarse.resize(Nstop);
-    evec_coarse.resize (Nstop,_CoarseGrid);
-    for (int i=0;i<Nstop;i++){
-      std::cout << i << " Coarse eval = " << evals_coarse[i]  << std::endl;
-    }
-  }
-};
-
-NAMESPACE_END(Grid);
-#endif

Grid/algorithms/iterative/MinimalResidual.h

@@ -1,157 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/algorithms/iterative/MinimalResidual.h
-
-Copyright (C) 2015
-
-Author: Daniel Richtmann <daniel.richtmann@ur.de>
-
-This program is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2 of the License, or
-(at your option) any later version.
-
-This program is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-GNU General Public License for more details.
-
-You should have received a copy of the GNU General Public License along
-with this program; if not, write to the Free Software Foundation, Inc.,
-51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-See the full license in the file "LICENSE" in the top level distribution
-directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_MINIMAL_RESIDUAL_H
-#define GRID_MINIMAL_RESIDUAL_H
-
-namespace Grid {
-
-template<class Field> class MinimalResidual : public OperatorFunction<Field> {
- public:
-  using OperatorFunction<Field>::operator();
-
-  bool ErrorOnNoConverge; // throw an assert when the MR fails to converge.
-                          // Defaults true.
-  RealD   Tolerance;
-  Integer MaxIterations;
-  RealD   overRelaxParam;
-  Integer IterationsToComplete; // Number of iterations the MR took to finish.
-                                // Filled in upon completion
-
-  MinimalResidual(RealD tol, Integer maxit, Real ovrelparam = 1.0, bool err_on_no_conv = true)
-    : Tolerance(tol), MaxIterations(maxit), overRelaxParam(ovrelparam), ErrorOnNoConverge(err_on_no_conv){};
-
-  void operator()(LinearOperatorBase<Field> &Linop, const Field &src, Field &psi) {
-
-    psi.Checkerboard() = src.Checkerboard();
-    conformable(psi, src);
-
-    ComplexD a, c;
-    RealD    d;
-
-    Field Mr(src);
-    Field r(src);
-
-    // Initial residual computation & set up
-    RealD guess = norm2(psi);
-    assert(std::isnan(guess) == 0);
-
-    RealD ssq = norm2(src);
-    RealD rsq = Tolerance * Tolerance * ssq;
-
-    Linop.Op(psi, Mr);
-
-    r = src - Mr;
-
-    RealD cp = norm2(r);
-
-    std::cout << std::setprecision(4) << std::scientific;
-    std::cout << GridLogIterative << "MinimalResidual: guess " << guess << std::endl;
-    std::cout << GridLogIterative << "MinimalResidual:   src " << ssq << std::endl;
-    std::cout << GridLogIterative << "MinimalResidual:  cp,r " << cp << std::endl;
-
-    if (cp <= rsq) {
-      return;
-    }
-
-    std::cout << GridLogIterative << "MinimalResidual: k=0 residual " << cp << " target " << rsq << std::endl;
-
-    GridStopWatch LinalgTimer;
-    GridStopWatch MatrixTimer;
-    GridStopWatch SolverTimer;
-
-    SolverTimer.Start();
-    int k;
-    for (k = 1; k <= MaxIterations; k++) {
-
-      MatrixTimer.Start();
-      Linop.Op(r, Mr);
-      MatrixTimer.Stop();
-
-      LinalgTimer.Start();
-
-      c = innerProduct(Mr, r);
-
-      d = norm2(Mr);
-
-      a = c / d;
-
-      a = a * overRelaxParam;
-
-      psi = psi + r * a;
-
-      r = r - Mr * a;
-
-      cp = norm2(r);
-
-      LinalgTimer.Stop();
-
-      std::cout << GridLogIterative << "MinimalResidual: Iteration " << k
-                << " residual " << cp << " target " << rsq << std::endl;
-      std::cout << GridLogDebug << "a = " << a << " c = " << c << " d = " << d << std::endl;
-
-      // Stopping condition
-      if (cp <= rsq) {
-        SolverTimer.Stop();
-
-        Linop.Op(psi, Mr);
-        r = src - Mr;
-
-        RealD srcnorm       = sqrt(ssq);
-        RealD resnorm       = sqrt(norm2(r));
-        RealD true_residual = resnorm / srcnorm;
-
-        std::cout << GridLogMessage        << "MinimalResidual Converged on iteration " << k
-                  << " computed residual " << sqrt(cp / ssq)
-                  << " true residual "     << true_residual
-                  << " target "            << Tolerance << std::endl;
-
-        std::cout << GridLogMessage << "MR Time elapsed: Total   " << SolverTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "MR Time elapsed: Matrix  " << MatrixTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "MR Time elapsed: Linalg  " << LinalgTimer.Elapsed() << std::endl;
-
-        if (ErrorOnNoConverge)
-          assert(true_residual / Tolerance < 10000.0);
-
-        IterationsToComplete = k;
-
-        return;
-      }
-    }
-
-    std::cout << GridLogMessage << "MinimalResidual did NOT converge"
-              << std::endl;
-
-    if (ErrorOnNoConverge)
-      assert(0);
-
-    IterationsToComplete = k;
-  }
-};
-} // namespace Grid
-#endif

Grid/algorithms/iterative/MixedPrecisionFlexibleGeneralisedMinimalResidual.h

@@ -1,276 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/algorithms/iterative/MixedPrecisionFlexibleGeneralisedMinimalResidual.h
-
-Copyright (C) 2015
-
-Author: Daniel Richtmann <daniel.richtmann@ur.de>
-
-This program is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2 of the License, or
-(at your option) any later version.
-
-This program is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-GNU General Public License for more details.
-
-You should have received a copy of the GNU General Public License along
-with this program; if not, write to the Free Software Foundation, Inc.,
-51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-See the full license in the file "LICENSE" in the top level distribution
-directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_MIXED_PRECISION_FLEXIBLE_GENERALISED_MINIMAL_RESIDUAL_H
-#define GRID_MIXED_PRECISION_FLEXIBLE_GENERALISED_MINIMAL_RESIDUAL_H
-
-namespace Grid {
-
-template<class FieldD, class FieldF, typename std::enable_if<getPrecision<FieldD>::value == 2, int>::type = 0, typename std::enable_if< getPrecision<FieldF>::value == 1, int>::type = 0>
-class MixedPrecisionFlexibleGeneralisedMinimalResidual : public OperatorFunction<FieldD> {
- public:
-
-  using OperatorFunction<FieldD>::operator();
-
-  bool ErrorOnNoConverge; // Throw an assert when MPFGMRES fails to converge,
-                          // defaults to true
-
-  RealD   Tolerance;
-
-  Integer MaxIterations;
-  Integer RestartLength;
-  Integer MaxNumberOfRestarts;
-  Integer IterationCount; // Number of iterations the MPFGMRES took to finish,
-                          // filled in upon completion
-
-  GridStopWatch MatrixTimer;
-  GridStopWatch PrecTimer;
-  GridStopWatch LinalgTimer;
-  GridStopWatch QrTimer;
-  GridStopWatch CompSolutionTimer;
-  GridStopWatch ChangePrecTimer;
-
-  Eigen::MatrixXcd H;
-
-  std::vector<ComplexD> y;
-  std::vector<ComplexD> gamma;
-  std::vector<ComplexD> c;
-  std::vector<ComplexD> s;
-
-  GridBase* SinglePrecGrid;
-
-  LinearFunction<FieldF> &Preconditioner;
-
-  MixedPrecisionFlexibleGeneralisedMinimalResidual(RealD   tol,
-                                                   Integer maxit,
-                                                   GridBase * sp_grid,
-                                                   LinearFunction<FieldF> &Prec,
-                                                   Integer restart_length,
-                                                   bool    err_on_no_conv = true)
-      : Tolerance(tol)
-      , MaxIterations(maxit)
-      , RestartLength(restart_length)
-      , MaxNumberOfRestarts(MaxIterations/RestartLength + ((MaxIterations%RestartLength == 0) ? 0 : 1))
-      , ErrorOnNoConverge(err_on_no_conv)
-      , H(Eigen::MatrixXcd::Zero(RestartLength, RestartLength + 1)) // sizes taken from DD-αAMG code base
-      , y(RestartLength + 1, 0.)
-      , gamma(RestartLength + 1, 0.)
-      , c(RestartLength + 1, 0.)
-      , s(RestartLength + 1, 0.)
-      , SinglePrecGrid(sp_grid)
-      , Preconditioner(Prec) {};
-
-  void operator()(LinearOperatorBase<FieldD> &LinOp, const FieldD &src, FieldD &psi) {
-
-    psi.Checkerboard() = src.Checkerboard();
-    conformable(psi, src);
-
-    RealD guess = norm2(psi);
-    assert(std::isnan(guess) == 0);
-
-    RealD cp;
-    RealD ssq = norm2(src);
-    RealD rsq = Tolerance * Tolerance * ssq;
-
-    FieldD r(src.Grid());
-
-    std::cout << std::setprecision(4) << std::scientific;
-    std::cout << GridLogIterative << "MPFGMRES: guess " << guess << std::endl;
-    std::cout << GridLogIterative << "MPFGMRES:   src " << ssq   << std::endl;
-
-    PrecTimer.Reset();
-    MatrixTimer.Reset();
-    LinalgTimer.Reset();
-    QrTimer.Reset();
-    CompSolutionTimer.Reset();
-    ChangePrecTimer.Reset();
-
-    GridStopWatch SolverTimer;
-    SolverTimer.Start();
-
-    IterationCount = 0;
-
-    for (int k=0; k<MaxNumberOfRestarts; k++) {
-
-      cp = outerLoopBody(LinOp, src, psi, rsq);
-
-      // Stopping condition
-      if (cp <= rsq) {
-
-        SolverTimer.Stop();
-
-        LinOp.Op(psi,r);
-        axpy(r,-1.0,src,r);
-
-        RealD srcnorm       = sqrt(ssq);
-        RealD resnorm       = sqrt(norm2(r));
-        RealD true_residual = resnorm / srcnorm;
-
-        std::cout << GridLogMessage        << "MPFGMRES: Converged on iteration " << IterationCount
-                  << " computed residual " << sqrt(cp / ssq)
-                  << " true residual "     << true_residual
-                  << " target "            << Tolerance << std::endl;
-
-        std::cout << GridLogMessage << "MPFGMRES Time elapsed: Total      " <<       SolverTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "MPFGMRES Time elapsed: Precon     " <<         PrecTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "MPFGMRES Time elapsed: Matrix     " <<       MatrixTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "MPFGMRES Time elapsed: Linalg     " <<       LinalgTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "MPFGMRES Time elapsed: QR         " <<           QrTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "MPFGMRES Time elapsed: CompSol    " << CompSolutionTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "MPFGMRES Time elapsed: PrecChange " <<   ChangePrecTimer.Elapsed() << std::endl;
-        return;
-      }
-    }
-
-    std::cout << GridLogMessage << "MPFGMRES did NOT converge" << std::endl;
-
-    if (ErrorOnNoConverge)
-      assert(0);
-  }
-
-  RealD outerLoopBody(LinearOperatorBase<FieldD> &LinOp, const FieldD &src, FieldD &psi, RealD rsq) {
-
-    RealD cp = 0;
-
-    FieldD w(src.Grid());
-    FieldD r(src.Grid());
-
-    // these should probably be made class members so that they are only allocated once, not in every restart
-    std::vector<FieldD> v(RestartLength + 1, src.Grid()); for (auto &elem : v) elem = Zero();
-    std::vector<FieldD> z(RestartLength + 1, src.Grid()); for (auto &elem : z) elem = Zero();
-
-    MatrixTimer.Start();
-    LinOp.Op(psi, w);
-    MatrixTimer.Stop();
-
-    LinalgTimer.Start();
-    r = src - w;
-
-    gamma[0] = sqrt(norm2(r));
-
-    v[0] = (1. / gamma[0]) * r;
-    LinalgTimer.Stop();
-
-    for (int i=0; i<RestartLength; i++) {
-
-      IterationCount++;
-
-      arnoldiStep(LinOp, v, z, w, i);
-
-      qrUpdate(i);
-
-      cp = norm(gamma[i+1]);
-
-      std::cout << GridLogIterative << "MPFGMRES: Iteration " << IterationCount
-                << " residual " << cp << " target " << rsq << std::endl;
-
-      if ((i == RestartLength - 1) || (IterationCount == MaxIterations) || (cp <= rsq)) {
-
-        computeSolution(z, psi, i);
-
-        return cp;
-      }
-    }
-
-    assert(0); // Never reached
-    return cp;
-  }
-
-  void arnoldiStep(LinearOperatorBase<FieldD> &LinOp, std::vector<FieldD> &v, std::vector<FieldD> &z, FieldD &w, int iter) {
-
-    FieldF v_f(SinglePrecGrid);
-    FieldF z_f(SinglePrecGrid);
-
-    ChangePrecTimer.Start();
-    precisionChange(v_f, v[iter]);
-    precisionChange(z_f, z[iter]);
-    ChangePrecTimer.Stop();
-
-    PrecTimer.Start();
-    Preconditioner(v_f, z_f);
-    PrecTimer.Stop();
-
-    ChangePrecTimer.Start();
-    precisionChange(z[iter], z_f);
-    ChangePrecTimer.Stop();
-
-    MatrixTimer.Start();
-    LinOp.Op(z[iter], w);
-    MatrixTimer.Stop();
-
-    LinalgTimer.Start();
-    for (int i = 0; i <= iter; ++i) {
-      H(iter, i) = innerProduct(v[i], w);
-      w = w - ComplexD(H(iter, i)) * v[i];
-    }
-
-    H(iter, iter + 1) = sqrt(norm2(w));
-    v[iter + 1] = ComplexD(1. / H(iter, iter + 1)) * w;
-    LinalgTimer.Stop();
-  }
-
-  void qrUpdate(int iter) {
-
-    QrTimer.Start();
-    for (int i = 0; i < iter ; ++i) {
-      auto tmp       = -s[i] * ComplexD(H(iter, i)) + c[i] * ComplexD(H(iter, i + 1));
-      H(iter, i)     = conjugate(c[i]) * ComplexD(H(iter, i)) + conjugate(s[i]) * ComplexD(H(iter, i + 1));
-      H(iter, i + 1) = tmp;
-    }
-
-    // Compute new Givens Rotation
-    auto nu = sqrt(std::norm(H(iter, iter)) + std::norm(H(iter, iter + 1)));
-    c[iter]     = H(iter, iter) / nu;
-    s[iter]     = H(iter, iter + 1) / nu;
-
-    // Apply new Givens rotation
-    H(iter, iter)     = nu;
-    H(iter, iter + 1) = 0.;
-
-    gamma[iter + 1] = -s[iter] * gamma[iter];
-    gamma[iter]     = conjugate(c[iter]) * gamma[iter];
-    QrTimer.Stop();
-  }
-
-  void computeSolution(std::vector<FieldD> const &z, FieldD &psi, int iter) {
-
-    CompSolutionTimer.Start();
-    for (int i = iter; i >= 0; i--) {
-      y[i] = gamma[i];
-      for (int k = i + 1; k <= iter; k++)
-        y[i] = y[i] - ComplexD(H(k, i)) * y[k];
-      y[i] = y[i] / ComplexD(H(i, i));
-    }
-
-    for (int i = 0; i <= iter; i++)
-      psi = psi + z[i] * y[i];
-    CompSolutionTimer.Stop();
-  }
-};
-}
-#endif

Grid/algorithms/iterative/NormalEquations.h

@@ -1,112 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/iterative/NormalEquations.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_NORMAL_EQUATIONS_H
-#define GRID_NORMAL_EQUATIONS_H
-
-NAMESPACE_BEGIN(Grid);
-
-///////////////////////////////////////////////////////////////////////////////////////////////////////
-// Take a matrix and form an NE solver calling a Herm solver
-///////////////////////////////////////////////////////////////////////////////////////////////////////
-template<class Field> class NormalEquations {
-private:
-  SparseMatrixBase<Field> & _Matrix;
-  OperatorFunction<Field> & _HermitianSolver;
-  LinearFunction<Field>   & _Guess;
-public:
-
-  /////////////////////////////////////////////////////
-  // Wrap the usual normal equations trick
-  /////////////////////////////////////////////////////
- NormalEquations(SparseMatrixBase<Field> &Matrix, OperatorFunction<Field> &HermitianSolver,
-		 LinearFunction<Field> &Guess) 
-   :  _Matrix(Matrix), _HermitianSolver(HermitianSolver), _Guess(Guess) {}; 
-
-  void operator() (const Field &in, Field &out){
- 
-    Field src(in.Grid());
-    Field tmp(in.Grid());
-
-    MdagMLinearOperator<SparseMatrixBase<Field>,Field> MdagMOp(_Matrix);
-    _Matrix.Mdag(in,src);
-    _Guess(src,out);
-    _HermitianSolver(MdagMOp,src,out);  // Mdag M out = Mdag in
-
-  }     
-};
-
-template<class Field> class HPDSolver {
-private:
-  LinearOperatorBase<Field> & _Matrix;
-  OperatorFunction<Field> & _HermitianSolver;
-  LinearFunction<Field>   & _Guess;
-public:
-
-  /////////////////////////////////////////////////////
-  // Wrap the usual normal equations trick
-  /////////////////////////////////////////////////////
- HPDSolver(LinearOperatorBase<Field> &Matrix,
-	   OperatorFunction<Field> &HermitianSolver,
-	   LinearFunction<Field> &Guess) 
-   :  _Matrix(Matrix), _HermitianSolver(HermitianSolver), _Guess(Guess) {}; 
-
-  void operator() (const Field &in, Field &out){
- 
-    _Guess(in,out);
-    _HermitianSolver(_Matrix,in,out);  // Mdag M out = Mdag in
-
-  }     
-};
-
-
-template<class Field> class MdagMSolver {
-private:
-  SparseMatrixBase<Field> & _Matrix;
-  OperatorFunction<Field> & _HermitianSolver;
-  LinearFunction<Field>   & _Guess;
-public:
-
-  /////////////////////////////////////////////////////
-  // Wrap the usual normal equations trick
-  /////////////////////////////////////////////////////
- MdagMSolver(SparseMatrixBase<Field> &Matrix, OperatorFunction<Field> &HermitianSolver,
-	     LinearFunction<Field> &Guess) 
-   :  _Matrix(Matrix), _HermitianSolver(HermitianSolver), _Guess(Guess) {}; 
-
-  void operator() (const Field &in, Field &out){
- 
-    MdagMLinearOperator<SparseMatrixBase<Field>,Field> MdagMOp(_Matrix);
-    _Guess(in,out);
-
-    _HermitianSolver(MdagMOp,in,out);  // Mdag M out = Mdag in
-
-  }     
-};
-
-NAMESPACE_END(Grid);
-#endif

Grid/algorithms/iterative/PowerMethod.h

@@ -1,45 +0,0 @@
-#pragma once
-namespace Grid {
-template<class Field> class PowerMethod  
-{ 
- public: 
-
-  template<typename T>  static RealD normalise(T& v) 
-  {
-    RealD nn = norm2(v);
-    nn = sqrt(nn);
-    v = v * (1.0/nn);
-    return nn;
-  }
-
-  RealD operator()(LinearOperatorBase<Field> &HermOp, const Field &src) 
-  { 
-    GridBase *grid = src.Grid(); 
-    
-    // quickly get an idea of the largest eigenvalue to more properly normalize the residuum 
-    RealD evalMaxApprox = 0.0; 
-    auto src_n = src; 
-    auto tmp = src; 
-    const int _MAX_ITER_EST_ = 50; 
-
-    for (int i=0;i<_MAX_ITER_EST_;i++) { 
-      
-      normalise(src_n); 
-      HermOp.HermOp(src_n,tmp); 
-      RealD vnum = real(innerProduct(src_n,tmp)); // HermOp. 
-      RealD vden = norm2(src_n); 
-      RealD na = vnum/vden; 
-      
-      if ( (fabs(evalMaxApprox/na - 1.0) < 0.001) || (i==_MAX_ITER_EST_-1) ) { 
- 	evalMaxApprox = na; 
-	std::cout << GridLogMessage << " Approximation of largest eigenvalue: " << evalMaxApprox << std::endl;
- 	return evalMaxApprox; 
-      } 
-      evalMaxApprox = na; 
-      src_n = tmp;
-    }
-    assert(0);
-    return 0;
-  }
-};
-}

Grid/algorithms/iterative/PrecConjugateResidual.h

@@ -1,119 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/iterative/PrecConjugateResidual.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_PREC_CONJUGATE_RESIDUAL_H
-#define GRID_PREC_CONJUGATE_RESIDUAL_H
-
-NAMESPACE_BEGIN(Grid);
-
-/////////////////////////////////////////////////////////////
-// Base classes for iterative processes based on operators
-// single input vec, single output vec.
-/////////////////////////////////////////////////////////////
-
-template<class Field> 
-class PrecConjugateResidual : public OperatorFunction<Field> {
-public:                                                
-  RealD   Tolerance;
-  Integer MaxIterations;
-  int verbose;
-  LinearFunction<Field> &Preconditioner;
-
-  PrecConjugateResidual(RealD tol,Integer maxit,LinearFunction<Field> &Prec) : Tolerance(tol), MaxIterations(maxit),      Preconditioner(Prec)
-  { 
-    verbose=1;
-  };
-
-  void operator() (LinearOperatorBase<Field> &Linop,const Field &src, Field &psi){
-
-    RealD a, b, c, d;
-    RealD cp, ssq,rsq;
-      
-    RealD rAr, rAAr, rArp;
-    RealD pAp, pAAp;
-
-    GridBase *grid = src.Grid();
-    Field r(grid),  p(grid), Ap(grid), Ar(grid), z(grid);
-      
-    psi=zero;
-    r  = src;
-    Preconditioner(r,p);
-
-      
-
-    Linop.HermOpAndNorm(p,Ap,pAp,pAAp);
-    Ar=Ap;
-    rAr=pAp;
-    rAAr=pAAp;
-
-    cp =norm2(r);
-    ssq=norm2(src);
-    rsq=Tolerance*Tolerance*ssq;
-
-    if (verbose) std::cout<<GridLogMessage<<"PrecConjugateResidual: iteration " <<0<<" residual "<<cp<< " target"<< rsq<<std::endl;
-
-    for(int k=0;k<MaxIterations;k++){
-
-
-      Preconditioner(Ap,z);
-      RealD rq= real(innerProduct(Ap,z)); 
-
-      a = rAr/rq;
-
-      axpy(psi,a,p,psi);
-      cp = axpy_norm(r,-a,z,r);
-
-      rArp=rAr;
-
-      Linop.HermOpAndNorm(r,Ar,rAr,rAAr);
-
-      b   =rAr/rArp;
- 
-      axpy(p,b,p,r);
-      pAAp=axpy_norm(Ap,b,Ap,Ar);
-	
-      if(verbose) std::cout<<GridLogMessage<<"PrecConjugateResidual: iteration " <<k<<" residual "<<cp<< " target"<< rsq<<std::endl;
-
-      if(cp<rsq) {
-	Linop.HermOp(psi,Ap);
-	axpy(r,-1.0,src,Ap);
-	RealD true_resid = norm2(r)/ssq;
-	std::cout<<GridLogMessage<<"PrecConjugateResidual: Converged on iteration " <<k
-		 << " computed residual "<<sqrt(cp/ssq)
-		 << " true residual "<<sqrt(true_resid)
-		 << " target "       <<Tolerance <<std::endl;
-	return;
-      }
-
-    }
-
-    std::cout<<GridLogMessage<<"PrecConjugateResidual did NOT converge"<<std::endl;
-    assert(0);
-  }
-};
-NAMESPACE_END(Grid);
-#endif

Grid/algorithms/iterative/PrecGeneralisedConjugateResidual.h

@@ -1,239 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/iterative/PrecGeneralisedConjugateResidual.h
-
-    Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_PREC_GCR_H
-#define GRID_PREC_GCR_H
-
-///////////////////////////////////////////////////////////////////////////////////////////////////////
-//VPGCR Abe and Zhang, 2005.
-//INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
-//Computing and Information Volume 2, Number 2, Pages 147-161
-//NB. Likely not original reference since they are focussing on a preconditioner variant.
-//    but VPGCR was nicely written up in their paper
-///////////////////////////////////////////////////////////////////////////////////////////////////////
-NAMESPACE_BEGIN(Grid);
-
-#define GCRLogLevel std::cout << GridLogMessage <<std::string(level,'\t')<< " Level "<<level<<" " 
-
-template<class Field>
-class PrecGeneralisedConjugateResidual : public LinearFunction<Field> {
-public:                                                
-
-  RealD   Tolerance;
-  Integer MaxIterations;
-  int verbose;
-  int mmax;
-  int nstep;
-  int steps;
-  int level;
-  GridStopWatch PrecTimer;
-  GridStopWatch MatTimer;
-  GridStopWatch LinalgTimer;
-
-  LinearFunction<Field>     &Preconditioner;
-  LinearOperatorBase<Field> &Linop;
-
-  void Level(int lv) { level=lv; };
-
-  PrecGeneralisedConjugateResidual(RealD tol,Integer maxit,LinearOperatorBase<Field> &_Linop,LinearFunction<Field> &Prec,int _mmax,int _nstep) : 
-    Tolerance(tol), 
-    MaxIterations(maxit),
-    Linop(_Linop),
-    Preconditioner(Prec),
-    mmax(_mmax),
-    nstep(_nstep)
-  { 
-    level=1;
-    verbose=1;
-  };
-
-  void operator() (const Field &src, Field &psi){
-
-    psi=Zero();
-    RealD cp, ssq,rsq;
-    ssq=norm2(src);
-    rsq=Tolerance*Tolerance*ssq;
-      
-    Field r(src.Grid());
-
-    PrecTimer.Reset();
-    MatTimer.Reset();
-    LinalgTimer.Reset();
-
-    GridStopWatch SolverTimer;
-    SolverTimer.Start();
-
-    steps=0;
-    for(int k=0;k<MaxIterations;k++){
-
-      cp=GCRnStep(src,psi,rsq);
-
-      GCRLogLevel <<"PGCR("<<mmax<<","<<nstep<<") "<< steps <<" steps cp = "<<cp<<" target "<<rsq <<std::endl;
-
-      if(cp<rsq) {
-
-	SolverTimer.Stop();
-
-	Linop.HermOp(psi,r);
-	axpy(r,-1.0,src,r);
-	RealD tr = norm2(r);
-	GCRLogLevel<<"PGCR: Converged on iteration " <<steps
-		 << " computed residual "<<sqrt(cp/ssq)
-		 << " true residual "    <<sqrt(tr/ssq)
-		 << " target "           <<Tolerance <<std::endl;
-
-	GCRLogLevel<<"PGCR Time elapsed: Total  "<< SolverTimer.Elapsed() <<std::endl;
-	/*
-	  GCRLogLevel<<"PGCR Time elapsed: Precon "<<   PrecTimer.Elapsed() <<std::endl;
-	  GCRLogLevel<<"PGCR Time elapsed: Matrix "<<    MatTimer.Elapsed() <<std::endl;
-	  GCRLogLevel<<"PGCR Time elapsed: Linalg "<< LinalgTimer.Elapsed() <<std::endl;
-	*/
-	return;
-      }
-
-    }
-    GCRLogLevel<<"Variable Preconditioned GCR did not converge"<<std::endl;
-    //    assert(0);
-  }
-
-  RealD GCRnStep(const Field &src, Field &psi,RealD rsq){
-
-    RealD cp;
-    RealD a, b;
-    RealD zAz, zAAz;
-    RealD rq;
-
-    GridBase *grid = src.Grid();
-
-    Field r(grid);
-    Field z(grid);
-    Field tmp(grid);
-    Field ttmp(grid);
-    Field Az(grid);
-
-    ////////////////////////////////
-    // history for flexible orthog
-    ////////////////////////////////
-    std::vector<Field> q(mmax,grid);
-    std::vector<Field> p(mmax,grid);
-    std::vector<RealD> qq(mmax);
-      
-    GCRLogLevel<< "PGCR nStep("<<nstep<<")"<<std::endl;
-
-    //////////////////////////////////
-    // initial guess x0 is taken as nonzero.
-    // r0=src-A x0 = src
-    //////////////////////////////////
-    MatTimer.Start();
-    Linop.HermOpAndNorm(psi,Az,zAz,zAAz); 
-    MatTimer.Stop();
-    
-
-    LinalgTimer.Start();
-    r=src-Az;
-    LinalgTimer.Stop();
-    GCRLogLevel<< "PGCR true residual r = src - A psi   "<<norm2(r) <<std::endl;
-    
-    /////////////////////
-    // p = Prec(r)
-    /////////////////////
-
-    PrecTimer.Start();
-    Preconditioner(r,z);
-    PrecTimer.Stop();
-
-    MatTimer.Start();
-    Linop.HermOpAndNorm(z,Az,zAz,zAAz); 
-    MatTimer.Stop();
-
-    LinalgTimer.Start();
-
-    //p[0],q[0],qq[0] 
-    p[0]= z;
-    q[0]= Az;
-    qq[0]= zAAz;
-    
-    cp =norm2(r);
-    LinalgTimer.Stop();
-
-    for(int k=0;k<nstep;k++){
-
-      steps++;
-
-      int kp     = k+1;
-      int peri_k = k %mmax;
-      int peri_kp= kp%mmax;
-
-      LinalgTimer.Start();
-      rq= real(innerProduct(r,q[peri_k])); // what if rAr not real?
-      a = rq/qq[peri_k];
-
-      axpy(psi,a,p[peri_k],psi);         
-
-      cp = axpy_norm(r,-a,q[peri_k],r);
-      LinalgTimer.Stop();
-
-      GCRLogLevel<< "PGCR step["<<steps<<"]  resid " << cp << " target " <<rsq<<std::endl; 
-
-      if((k==nstep-1)||(cp<rsq)){
-	return cp;
-      }
-
-
-      PrecTimer.Start();
-      Preconditioner(r,z);// solve Az = r
-      PrecTimer.Stop();
-
-      MatTimer.Start();
-      Linop.HermOpAndNorm(z,Az,zAz,zAAz);
-      MatTimer.Stop();
-
-      LinalgTimer.Start();
-
-      q[peri_kp]=Az;
-      p[peri_kp]=z;
-
-      int northog = ((kp)>(mmax-1))?(mmax-1):(kp);  // if more than mmax done, we orthog all mmax history.
-      for(int back=0;back<northog;back++){
-
-	int peri_back=(k-back)%mmax;   	  assert((k-back)>=0);
-
-	b=-real(innerProduct(q[peri_back],Az))/qq[peri_back];
-	p[peri_kp]=p[peri_kp]+b*p[peri_back];
-	q[peri_kp]=q[peri_kp]+b*q[peri_back];
-
-      }
-      qq[peri_kp]=norm2(q[peri_kp]); // could use axpy_norm
-      LinalgTimer.Stop();
-    }
-    assert(0); // never reached
-    return cp;
-  }
-};
-NAMESPACE_END(Grid);
-#endif

Grid/algorithms/iterative/PrecGeneralisedConjugateResidualNonHermitian.h

@@ -1,241 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/iterative/PrecGeneralisedConjugateResidual.h
-
-    Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_PREC_GCR_NON_HERM_H
-#define GRID_PREC_GCR_NON_HERM_H
-
-///////////////////////////////////////////////////////////////////////////////////////////////////////
-//VPGCR Abe and Zhang, 2005.
-//INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
-//Computing and Information Volume 2, Number 2, Pages 147-161
-//NB. Likely not original reference since they are focussing on a preconditioner variant.
-//    but VPGCR was nicely written up in their paper
-///////////////////////////////////////////////////////////////////////////////////////////////////////
-NAMESPACE_BEGIN(Grid);
-
-#define GCRLogLevel std::cout << GridLogMessage <<std::string(level,'\t')<< " Level "<<level<<" " 
-
-template<class Field>
-class PrecGeneralisedConjugateResidualNonHermitian : public LinearFunction<Field> {
-public:                                                
-
-  RealD   Tolerance;
-  Integer MaxIterations;
-  int verbose;
-  int mmax;
-  int nstep;
-  int steps;
-  int level;
-  GridStopWatch PrecTimer;
-  GridStopWatch MatTimer;
-  GridStopWatch LinalgTimer;
-
-  LinearFunction<Field>     &Preconditioner;
-  LinearOperatorBase<Field> &Linop;
-
-  void Level(int lv) { level=lv; };
-
-  PrecGeneralisedConjugateResidualNonHermitian(RealD tol,Integer maxit,LinearOperatorBase<Field> &_Linop,LinearFunction<Field> &Prec,int _mmax,int _nstep) : 
-    Tolerance(tol), 
-    MaxIterations(maxit),
-    Linop(_Linop),
-    Preconditioner(Prec),
-    mmax(_mmax),
-    nstep(_nstep)
-  { 
-    level=1;
-    verbose=1;
-  };
-
-  void operator() (const Field &src, Field &psi){
-
-    psi=Zero();
-    RealD cp, ssq,rsq;
-    ssq=norm2(src);
-    rsq=Tolerance*Tolerance*ssq;
-      
-    Field r(src.Grid());
-
-    PrecTimer.Reset();
-    MatTimer.Reset();
-    LinalgTimer.Reset();
-
-    GridStopWatch SolverTimer;
-    SolverTimer.Start();
-
-    steps=0;
-    for(int k=0;k<MaxIterations;k++){
-
-      cp=GCRnStep(src,psi,rsq);
-
-      GCRLogLevel <<"PGCR("<<mmax<<","<<nstep<<") "<< steps <<" steps cp = "<<cp<<" target "<<rsq <<std::endl;
-
-      if(cp<rsq) {
-
-	SolverTimer.Stop();
-
-	Linop.Op(psi,r);
-	axpy(r,-1.0,src,r);
-	RealD tr = norm2(r);
-	GCRLogLevel<<"PGCR: Converged on iteration " <<steps
-		 << " computed residual "<<sqrt(cp/ssq)
-		 << " true residual "    <<sqrt(tr/ssq)
-		 << " target "           <<Tolerance <<std::endl;
-
-	GCRLogLevel<<"PGCR Time elapsed: Total  "<< SolverTimer.Elapsed() <<std::endl;
-	return;
-      }
-
-    }
-    GCRLogLevel<<"Variable Preconditioned GCR did not converge"<<std::endl;
-    //    assert(0);
-  }
-
-  RealD GCRnStep(const Field &src, Field &psi,RealD rsq){
-
-    RealD cp;
-    ComplexD a, b, zAz;
-    RealD zAAz;
-    ComplexD rq;
-
-    GridBase *grid = src.Grid();
-
-    Field r(grid);
-    Field z(grid);
-    Field tmp(grid);
-    Field ttmp(grid);
-    Field Az(grid);
-
-    ////////////////////////////////
-    // history for flexible orthog
-    ////////////////////////////////
-    std::vector<Field> q(mmax,grid);
-    std::vector<Field> p(mmax,grid);
-    std::vector<RealD> qq(mmax);
-      
-    GCRLogLevel<< "PGCR nStep("<<nstep<<")"<<std::endl;
-
-    //////////////////////////////////
-    // initial guess x0 is taken as nonzero.
-    // r0=src-A x0 = src
-    //////////////////////////////////
-    MatTimer.Start();
-    Linop.Op(psi,Az);
-    zAz = innerProduct(Az,psi);
-    zAAz= norm2(Az);
-    MatTimer.Stop();
-    
-
-    LinalgTimer.Start();
-    r=src-Az;
-    LinalgTimer.Stop();
-    GCRLogLevel<< "PGCR true residual r = src - A psi   "<<norm2(r) <<std::endl;
-    
-    /////////////////////
-    // p = Prec(r)
-    /////////////////////
-
-    PrecTimer.Start();
-    Preconditioner(r,z);
-    PrecTimer.Stop();
-
-    MatTimer.Start();
-    Linop.Op(z,Az);
-    MatTimer.Stop();
-
-    LinalgTimer.Start();
-
-    zAz = innerProduct(Az,psi);
-    zAAz= norm2(Az);
-
-    //p[0],q[0],qq[0] 
-    p[0]= z;
-    q[0]= Az;
-    qq[0]= zAAz;
-    
-    cp =norm2(r);
-    LinalgTimer.Stop();
-
-    for(int k=0;k<nstep;k++){
-
-      steps++;
-
-      int kp     = k+1;
-      int peri_k = k %mmax;
-      int peri_kp= kp%mmax;
-
-      LinalgTimer.Start();
-      rq= innerProduct(q[peri_k],r); // what if rAr not real?
-      a = rq/qq[peri_k];
-
-      axpy(psi,a,p[peri_k],psi);         
-
-      cp = axpy_norm(r,-a,q[peri_k],r);
-      LinalgTimer.Stop();
-
-      GCRLogLevel<< "PGCR step["<<steps<<"]  resid " << cp << " target " <<rsq<<std::endl; 
-
-      if((k==nstep-1)||(cp<rsq)){
-	return cp;
-      }
-
-
-      PrecTimer.Start();
-      Preconditioner(r,z);// solve Az = r
-      PrecTimer.Stop();
-
-      MatTimer.Start();
-      Linop.Op(z,Az);
-      MatTimer.Stop();
-      zAz = innerProduct(Az,psi);
-      zAAz= norm2(Az);
-
-      LinalgTimer.Start();
-
-      q[peri_kp]=Az;
-      p[peri_kp]=z;
-
-      int northog = ((kp)>(mmax-1))?(mmax-1):(kp);  // if more than mmax done, we orthog all mmax history.
-      for(int back=0;back<northog;back++){
-
-	int peri_back=(k-back)%mmax;   	  assert((k-back)>=0);
-
-	b=-real(innerProduct(q[peri_back],Az))/qq[peri_back];
-	p[peri_kp]=p[peri_kp]+b*p[peri_back];
-	q[peri_kp]=q[peri_kp]+b*q[peri_back];
-
-      }
-      qq[peri_kp]=norm2(q[peri_kp]); // could use axpy_norm
-      LinalgTimer.Stop();
-    }
-    assert(0); // never reached
-    return cp;
-  }
-};
-NAMESPACE_END(Grid);
-#endif

Grid/algorithms/iterative/QuasiMinimalResidual.h

@@ -1,371 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/algorithmsf/iterative/QuasiMinimalResidual.h
-
-Copyright (C) 2019
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-This program is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2 of the License, or
-(at your option) any later version.
-
-This program is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-GNU General Public License for more details.
-
-You should have received a copy of the GNU General Public License along
-with this program; if not, write to the Free Software Foundation, Inc.,
-51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-See the full license in the file "LICENSE" in the top level distribution
-directory
-*************************************************************************************/
-/*  END LEGAL */
-#pragma once
-
-NAMESPACE_BEGIN(Grid);
-
-template<class Field> 
-RealD innerG5ProductReal(Field &l, Field &r)
-{
-  Gamma G5(Gamma::Algebra::Gamma5);
-  Field tmp(l.Grid());
-  //  tmp = G5*r;
-  G5R5(tmp,r);
-  ComplexD ip =innerProduct(l,tmp);
-  std::cout << "innerProductRealG5R5 "<<ip<<std::endl;
-  return ip.real();
-}
-
-template<class Field>
-class QuasiMinimalResidual : public OperatorFunction<Field> {
- public:
-  using OperatorFunction<Field>::operator();
-
-  bool ErrorOnNoConverge; 
-  RealD   Tolerance;
-  Integer MaxIterations;
-  Integer IterationCount;
-
-  QuasiMinimalResidual(RealD   tol,
-		       Integer maxit,
-		       bool    err_on_no_conv = true)
-      : Tolerance(tol)
-      , MaxIterations(maxit)
-      , ErrorOnNoConverge(err_on_no_conv) 
-  {};
-
-#if 1
-  void operator()(LinearOperatorBase<Field> &LinOp, const Field &b, Field &x) 
-  {
-    RealD resid;
-    IterationCount=0;
-
-    RealD  rho, rho_1, xi, gamma, gamma_1, theta, theta_1;
-    RealD  eta, delta, ep, beta; 
-
-    GridBase *Grid = b.Grid();
-    Field r(Grid), d(Grid), s(Grid);
-    Field v(Grid), w(Grid), y(Grid),  z(Grid);
-    Field v_tld(Grid), w_tld(Grid), y_tld(Grid), z_tld(Grid);
-    Field p(Grid), q(Grid), p_tld(Grid);
-
-    Real normb = norm2(b);
-
-    LinOp.Op(x,r); r = b - r;
-
-    assert(normb> 0.0);
-
-    resid = norm2(r)/normb;
-    if (resid <= Tolerance) {
-      return;
-    }
-
-    v_tld = r;
-    y = v_tld;
-    rho = norm2(y);
-
-    // Take Gamma5 conjugate
-    //    Gamma G5(Gamma::Algebra::Gamma5);
-    //    G5R5(w_tld,r);
-    //    w_tld = G5* v_tld;
-    w_tld=v_tld;
-    z = w_tld;
-    xi = norm2(z);
-
-    gamma = 1.0;
-    eta   = -1.0;
-    theta = 0.0;
-
-    for (int i = 1; i <= MaxIterations; i++) {
-
-      // Breakdown tests
-      assert( rho != 0.0);
-      assert( xi  != 0.0);
-
-      v = (1. / rho) * v_tld;
-      y = (1. / rho) * y;
-
-      w = (1. / xi) * w_tld;
-      z = (1. / xi) * z;
-
-      ComplexD Zdelta = innerProduct(z, y); // Complex?
-      std::cout << "Zdelta "<<Zdelta<<std::endl;
-      delta = Zdelta.real();
-
-      y_tld = y; 
-      z_tld = z;
-
-      if (i > 1) {
-	p = y_tld - (xi  * delta / ep) * p;
-	q = z_tld - (rho * delta / ep) * q;
-      } else {
-	p = y_tld;
-	q = z_tld;
-      }
-
-      LinOp.Op(p,p_tld);      //     p_tld = A * p;
-      ComplexD Zep = innerProduct(q, p_tld);
-      ep=Zep.real();
-      std::cout << "Zep "<<Zep <<std::endl;
-      // Complex Audit
-      assert(abs(ep)>0);
-
-      beta = ep / delta;
-      assert(abs(beta)>0);
-
-      v_tld = p_tld - beta * v;
-      y = v_tld;
-
-      rho_1 = rho;
-      rho   = norm2(y);
-      LinOp.AdjOp(q,w_tld);
-      w_tld = w_tld - beta * w;
-      z = w_tld;
-
-      xi = norm2(z);
-
-      gamma_1 = gamma;
-      theta_1 = theta;
-
-      theta   = rho / (gamma_1 * beta);
-      gamma   = 1.0 / sqrt(1.0 + theta * theta);
-      std::cout << "theta "<<theta<<std::endl;
-      std::cout << "gamma "<<gamma<<std::endl;
-
-      assert(abs(gamma)> 0.0);
-
-      eta = -eta * rho_1 * gamma* gamma / (beta * gamma_1 * gamma_1);
-
-      if (i > 1) {
-	d = eta * p + (theta_1 * theta_1 * gamma * gamma) * d;
-	s = eta * p_tld + (theta_1 * theta_1 * gamma * gamma) * s;
-      } else {
-	d = eta * p;
-	s = eta * p_tld;
-      }
-
-      x =x+d;                            // update approximation vector
-      r =r-s;                            // compute residual
-
-      if ((resid = norm2(r) / normb) <= Tolerance) {
-	return;
-      }
-      std::cout << "Iteration "<<i<<" resid " << resid<<std::endl;
-    }
-    assert(0);
-    return;                            // no convergence
-  }
-#else
-  // QMRg5 SMP thesis
-  void operator()(LinearOperatorBase<Field> &LinOp, const Field &b, Field &x) 
-  {
-    // Real scalars
-    GridBase *grid = b.Grid();
-
-    Field    r(grid);
-    Field    p_m(grid), p_m_minus_1(grid), p_m_minus_2(grid);
-    Field    v_m(grid), v_m_minus_1(grid), v_m_plus_1(grid);
-    Field    tmp(grid);
-
-    RealD    w;
-    RealD    z1, z2;
-    RealD    delta_m, delta_m_minus_1;
-    RealD    c_m_plus_1, c_m, c_m_minus_1;
-    RealD    s_m_plus_1, s_m, s_m_minus_1;
-    RealD    alpha, beta, gamma, epsilon;
-    RealD    mu, nu, rho, theta, xi, chi;
-    RealD    mod2r, mod2b;
-    RealD    tau2, target2;
-
-    mod2b=norm2(b);
-
-    /////////////////////////
-    // Initial residual
-    /////////////////////////
-    LinOp.Op(x,tmp);
-    r = b - tmp;
-
-    /////////////////////////
-    // \mu = \rho = |r_0|
-    /////////////////////////
-    mod2r = norm2(r);
-    rho = sqrt( mod2r);
-    mu=rho;
-    
-    std::cout << "QuasiMinimalResidual rho "<< rho<<std::endl;
-    /////////////////////////
-    // Zero negative history
-    /////////////////////////
-    v_m_plus_1  = Zero();
-    v_m_minus_1 = Zero();
-    p_m_minus_1 = Zero();
-    p_m_minus_2 = Zero();
-
-    // v0
-    v_m = (1.0/rho)*r;
-
-    /////////////////////////
-    // Initial coeffs
-    /////////////////////////
-    delta_m_minus_1 = 1.0;
-    c_m_minus_1     = 1.0;
-    c_m             = 1.0;
-    s_m_minus_1     = 0.0;
-    s_m             = 0.0;
-
-    /////////////////////////
-    // Set up convergence check
-    /////////////////////////
-    tau2    = mod2r;
-    target2 = mod2b * Tolerance*Tolerance;
- 
-    for(int iter = 0 ; iter < MaxIterations; iter++){
-
-      /////////////////////////
-      // \delta_m = (v_m, \gamma_5 v_m) 
-      /////////////////////////
-      delta_m = innerG5ProductReal(v_m,v_m);
-      std::cout << "QuasiMinimalResidual delta_m "<< delta_m<<std::endl;
-
-      /////////////////////////
-      // tmp = A v_m
-      /////////////////////////
-      LinOp.Op(v_m,tmp);
-
-      /////////////////////////
-      // \alpha = (v_m, \gamma_5 temp) / \delta_m 
-      /////////////////////////
-      alpha = innerG5ProductReal(v_m,tmp);
-      alpha = alpha/delta_m ;
-      std::cout << "QuasiMinimalResidual alpha "<< alpha<<std::endl;
-
-      /////////////////////////
-      // \beta = \rho \delta_m / \delta_{m-1}
-      /////////////////////////
-      beta = rho * delta_m / delta_m_minus_1;
-      std::cout << "QuasiMinimalResidual beta "<< beta<<std::endl;
-
-      /////////////////////////
-      // \tilde{v}_{m+1} = temp - \alpha v_m - \beta v_{m-1}
-      /////////////////////////
-      v_m_plus_1 = tmp - alpha*v_m - beta*v_m_minus_1;
-
-      ///////////////////////////////
-      // \rho = || \tilde{v}_{m+1} ||
-      ///////////////////////////////
-      rho = sqrt( norm2(v_m_plus_1) );
-      std::cout << "QuasiMinimalResidual rho "<< rho<<std::endl;
-
-      ///////////////////////////////
-      //      v_{m+1} = \tilde{v}_{m+1}
-      ///////////////////////////////
-      v_m_plus_1 = (1.0 / rho) * v_m_plus_1;
-
-      ////////////////////////////////
-      // QMR recurrence coefficients.
-      ////////////////////////////////
-      theta      = s_m_minus_1 * beta;
-      gamma      = c_m_minus_1 * beta;
-      epsilon    =  c_m * gamma + s_m * alpha;
-      xi         = -s_m * gamma + c_m * alpha;
-      nu         = sqrt( xi*xi + rho*rho );
-      c_m_plus_1 = fabs(xi) / nu;
-      if ( xi == 0.0 ) {
-	s_m_plus_1 = 1.0;
-      } else {
-	s_m_plus_1 = c_m_plus_1 * rho / xi;
-      }
-      chi = c_m_plus_1 * xi + s_m_plus_1 * rho;
-
-      std::cout << "QuasiMinimalResidual coeffs "<< theta <<" "<<gamma<<" "<< epsilon<<" "<< xi<<" "<< nu<<std::endl;
-      std::cout << "QuasiMinimalResidual coeffs "<< chi   <<std::endl;
-
-      ////////////////////////////////
-      //p_m=(v_m - \epsilon p_{m-1} - \theta p_{m-2}) / \chi
-      ////////////////////////////////
-      p_m = (1.0/chi) * v_m - (epsilon/chi) * p_m_minus_1 - (theta/chi) * p_m_minus_2;
-
-      ////////////////////////////////////////////////////////////////
-      //      \psi = \psi + c_{m+1} \mu p_m	
-      ////////////////////////////////////////////////////////////////
-      x = x + ( c_m_plus_1 * mu ) * p_m;
-
-      ////////////////////////////////////////
-      //
-      ////////////////////////////////////////
-      mu              = -s_m_plus_1 * mu;
-      delta_m_minus_1 = delta_m;
-      c_m_minus_1     = c_m;
-      c_m             = c_m_plus_1;
-      s_m_minus_1     = s_m;
-      s_m             = s_m_plus_1;
-
-      ////////////////////////////////////
-      // Could use pointer swizzle games.
-      ////////////////////////////////////
-      v_m_minus_1 = v_m;
-      v_m         = v_m_plus_1;
-      p_m_minus_2 = p_m_minus_1;
-      p_m_minus_1 = p_m;
-
-
-      /////////////////////////////////////
-      // Convergence checks
-      /////////////////////////////////////
-      z1 = RealD(iter+1.0);
-      z2 = z1 + 1.0;
-      tau2 = tau2 *( z2 / z1 ) * s_m * s_m;
-      std::cout << " QuasiMinimumResidual iteration "<< iter<<std::endl;
-      std::cout << " QuasiMinimumResidual tau bound "<< tau2<<std::endl;
-
-      // Compute true residual
-      mod2r = tau2;
-      if ( 1 || (tau2 < (100.0 * target2)) ) {
-	LinOp.Op(x,tmp);
-	r = b - tmp;
-	mod2r = norm2(r);
-	std::cout << " QuasiMinimumResidual true residual is "<< mod2r<<std::endl;
-      }
-
-
-      if ( mod2r < target2 ) { 
-
-	std::cout << " QuasiMinimumResidual has converged"<<std::endl;
-	return;
-
-      }
-
-    }
-
-
-  }
-#endif
-};
-
-NAMESPACE_END(Grid);

Grid/algorithms/iterative/SchurRedBlack.h

@@ -1,621 +0,0 @@
-    /*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/iterative/SchurRedBlack.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-    *************************************************************************************/
-    /*  END LEGAL */
-#ifndef GRID_SCHUR_RED_BLACK_H
-#define GRID_SCHUR_RED_BLACK_H
-
-
-  /*
-   * Red black Schur decomposition
-   *
-   *  M = (Mee Meo) =  (1             0 )   (Mee   0               )  (1 Mee^{-1} Meo)
-   *      (Moe Moo)    (Moe Mee^-1    1 )   (0   Moo-Moe Mee^-1 Meo)  (0   1         )
-   *                =         L                     D                     U
-   *
-   * L^-1 = (1              0 )
-   *        (-MoeMee^{-1}   1 )   
-   * L^{dag} = ( 1       Mee^{-dag} Moe^{dag} )
-   *           ( 0       1                    )
-   * L^{-d}  = ( 1      -Mee^{-dag} Moe^{dag} )
-   *           ( 0       1                    )
-   *
-   * U^-1 = (1   -Mee^{-1} Meo)
-   *        (0    1           )
-   * U^{dag} = ( 1                 0)
-   *           (Meo^dag Mee^{-dag} 1)
-   * U^{-dag} = (  1                 0)
-   *            (-Meo^dag Mee^{-dag} 1)
-   ***********************
-   *     M psi = eta
-   ***********************
-   *Odd
-   * i)                 D_oo psi_o =  L^{-1}  eta_o
-   *                        eta_o' = (D_oo)^dag (eta_o - Moe Mee^{-1} eta_e)
-   *
-   * Wilson:
-   *      (D_oo)^{\dag} D_oo psi_o = (D_oo)^dag L^{-1}  eta_o
-   * Stag:
-   *      D_oo psi_o = L^{-1}  eta =    (eta_o - Moe Mee^{-1} eta_e)
-   *
-   * L^-1 eta_o= (1              0 ) (e
-   *             (-MoeMee^{-1}   1 )   
-   *
-   *Even
-   * ii)  Mee psi_e + Meo psi_o = src_e
-   *
-   *   => sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
-   *
-   * 
-   * TODO: Other options:
-   * 
-   * a) change checkerboards for Schur e<->o
-   *
-   * Left precon by Moo^-1
-   * b) Doo^{dag} M_oo^-dag Moo^-1 Doo psi_0 =  (D_oo)^dag M_oo^-dag Moo^-1 L^{-1}  eta_o
-   *                              eta_o'     = (D_oo)^dag  M_oo^-dag Moo^-1 (eta_o - Moe Mee^{-1} eta_e)
-   *
-   * Right precon by Moo^-1
-   * c) M_oo^-dag Doo^{dag} Doo Moo^-1 phi_0 = M_oo^-dag (D_oo)^dag L^{-1}  eta_o
-   *                              eta_o'     = M_oo^-dag (D_oo)^dag (eta_o - Moe Mee^{-1} eta_e)
-   *                              psi_o = M_oo^-1 phi_o
-   * TODO: Deflation 
-   */
-namespace Grid {
-
-  ///////////////////////////////////////////////////////////////////////////////////////////////////////
-  // Use base class to share code
-  ///////////////////////////////////////////////////////////////////////////////////////////////////////
-  ///////////////////////////////////////////////////////////////////////////////////////////////////////
-  // Take a matrix and form a Red Black solver calling a Herm solver
-  // Use of RB info prevents making SchurRedBlackSolve conform to standard interface
-  ///////////////////////////////////////////////////////////////////////////////////////////////////////
-  template<class Field> class SchurRedBlackBase {
-  protected:
-    typedef CheckerBoardedSparseMatrixBase<Field> Matrix;
-    OperatorFunction<Field> & _HermitianRBSolver;
-    int CBfactorise;
-    bool subGuess;
-    bool useSolnAsInitGuess; // if true user-supplied solution vector is used as initial guess for solver
-  public:
-
-    SchurRedBlackBase(OperatorFunction<Field> &HermitianRBSolver, const bool initSubGuess = false,
-        const bool _solnAsInitGuess = false)  :
-    _HermitianRBSolver(HermitianRBSolver),
-    useSolnAsInitGuess(_solnAsInitGuess)
-    { 
-      CBfactorise = 0;
-      subtractGuess(initSubGuess);
-    };
-    void subtractGuess(const bool initSubGuess)
-    {
-      subGuess = initSubGuess;
-    }
-    bool isSubtractGuess(void)
-    {
-      return subGuess;
-    }
-
-    /////////////////////////////////////////////////////////////
-    // Shared code
-    /////////////////////////////////////////////////////////////
-    void operator() (Matrix & _Matrix,const Field &in, Field &out){
-      ZeroGuesser<Field> guess;
-      (*this)(_Matrix,in,out,guess);
-    }
-    void operator()(Matrix &_Matrix, const std::vector<Field> &in, std::vector<Field> &out) 
-    {
-      ZeroGuesser<Field> guess;
-      (*this)(_Matrix,in,out,guess);
-    }
-
-    template<class Guesser>
-    void operator()(Matrix &_Matrix, const std::vector<Field> &in, std::vector<Field> &out,Guesser &guess) 
-    {
-      GridBase *grid = _Matrix.RedBlackGrid();
-      GridBase *fgrid= _Matrix.Grid();
-      int nblock = in.size();
-
-      std::vector<Field> src_o(nblock,grid);
-      std::vector<Field> sol_o(nblock,grid);
-      
-      std::vector<Field> guess_save;
-
-      Field resid(fgrid);
-      Field tmp(grid);
-
-      ////////////////////////////////////////////////
-      // Prepare RedBlack source
-      ////////////////////////////////////////////////
-      for(int b=0;b<nblock;b++){
-	RedBlackSource(_Matrix,in[b],tmp,src_o[b]);
-      }
-      ////////////////////////////////////////////////
-      // Make the guesses
-      ////////////////////////////////////////////////
-      if ( subGuess ) guess_save.resize(nblock,grid);
-
-      for(int b=0;b<nblock;b++){
-        if(useSolnAsInitGuess) {
-          pickCheckerboard(Odd, sol_o[b], out[b]);
-        } else {
-          guess(src_o[b],sol_o[b]); 
-        }
-
-	if ( subGuess ) { 
-	  guess_save[b] = sol_o[b];
-	}
-      }
-      //////////////////////////////////////////////////////////////
-      // Call the block solver
-      //////////////////////////////////////////////////////////////
-      std::cout<<GridLogMessage << "SchurRedBlackBase calling the solver for "<<nblock<<" RHS" <<std::endl;
-      RedBlackSolve(_Matrix,src_o,sol_o);
-
-      ////////////////////////////////////////////////
-      // A2A boolean behavioural control & reconstruct other checkerboard
-      ////////////////////////////////////////////////
-      for(int b=0;b<nblock;b++) {
-
-	if (subGuess)   sol_o[b] = sol_o[b] - guess_save[b];
-
-	///////// Needs even source //////////////
-	pickCheckerboard(Even,tmp,in[b]);
-	RedBlackSolution(_Matrix,sol_o[b],tmp,out[b]);
-
-	/////////////////////////////////////////////////
-	// Check unprec residual if possible
-	/////////////////////////////////////////////////
-	if ( ! subGuess ) {
-	  _Matrix.M(out[b],resid); 
-	  resid = resid-in[b];
-	  RealD ns = norm2(in[b]);
-	  RealD nr = norm2(resid);
-	
-	  std::cout<<GridLogMessage<< "SchurRedBlackBase solver true unprec resid["<<b<<"] "<<std::sqrt(nr/ns) << std::endl;
-	} else {
-	  std::cout<<GridLogMessage<< "SchurRedBlackBase Guess subtracted after solve["<<b<<"] " << std::endl;
-	}
-
-      }
-    }
-    template<class Guesser>
-    void operator() (Matrix & _Matrix,const Field &in, Field &out,Guesser &guess){
-
-      // FIXME CGdiagonalMee not implemented virtual function
-      // FIXME use CBfactorise to control schur decomp
-      GridBase *grid = _Matrix.RedBlackGrid();
-      GridBase *fgrid= _Matrix.Grid();
-
-      Field resid(fgrid);
-      Field src_o(grid);
-      Field src_e(grid);
-      Field sol_o(grid);
-
-      ////////////////////////////////////////////////
-      // RedBlack source
-      ////////////////////////////////////////////////
-      RedBlackSource(_Matrix,in,src_e,src_o);
-
-      ////////////////////////////////
-      // Construct the guess
-      ////////////////////////////////
-      if(useSolnAsInitGuess) {
-        pickCheckerboard(Odd, sol_o, out);
-      } else {
-        guess(src_o,sol_o);
-      }
-
-      Field  guess_save(grid);
-      guess_save = sol_o;
-
-      //////////////////////////////////////////////////////////////
-      // Call the red-black solver
-      //////////////////////////////////////////////////////////////
-      RedBlackSolve(_Matrix,src_o,sol_o);
-
-      ////////////////////////////////////////////////
-      // Fionn A2A boolean behavioural control
-      ////////////////////////////////////////////////
-      if (subGuess)      sol_o= sol_o-guess_save;
-
-      ///////////////////////////////////////////////////
-      // RedBlack solution needs the even source
-      ///////////////////////////////////////////////////
-      RedBlackSolution(_Matrix,sol_o,src_e,out);
-
-      // Verify the unprec residual
-      if ( ! subGuess ) {
-        _Matrix.M(out,resid); 
-        resid = resid-in;
-        RealD ns = norm2(in);
-        RealD nr = norm2(resid);
-
-        std::cout<<GridLogMessage << "SchurRedBlackBase solver true unprec resid "<< std::sqrt(nr/ns) << std::endl;
-      } else {
-        std::cout << GridLogMessage << "SchurRedBlackBase Guess subtracted after solve." << std::endl;
-      }
-    }     
-    
-    /////////////////////////////////////////////////////////////
-    // Override in derived. 
-    /////////////////////////////////////////////////////////////
-    virtual void RedBlackSource  (Matrix & _Matrix,const Field &src, Field &src_e,Field &src_o)                =0;
-    virtual void RedBlackSolution(Matrix & _Matrix,const Field &sol_o, const Field &src_e,Field &sol)          =0;
-    virtual void RedBlackSolve   (Matrix & _Matrix,const Field &src_o, Field &sol_o)                           =0;
-    virtual void RedBlackSolve   (Matrix & _Matrix,const std::vector<Field> &src_o,  std::vector<Field> &sol_o)=0;
-
-  };
-
-  template<class Field> class SchurRedBlackStaggeredSolve : public SchurRedBlackBase<Field> {
-  public:
-    typedef CheckerBoardedSparseMatrixBase<Field> Matrix;
-
-    SchurRedBlackStaggeredSolve(OperatorFunction<Field> &HermitianRBSolver, const bool initSubGuess = false,
-        const bool _solnAsInitGuess = false) 
-      :    SchurRedBlackBase<Field> (HermitianRBSolver,initSubGuess,_solnAsInitGuess) 
-    {
-    }
-
-    //////////////////////////////////////////////////////
-    // Override RedBlack specialisation
-    //////////////////////////////////////////////////////
-    virtual void RedBlackSource(Matrix & _Matrix,const Field &src, Field &src_e,Field &src_o)
-    {
-      GridBase *grid = _Matrix.RedBlackGrid();
-      GridBase *fgrid= _Matrix.Grid();
-
-      Field   tmp(grid);
-      Field  Mtmp(grid);
-
-      pickCheckerboard(Even,src_e,src);
-      pickCheckerboard(Odd ,src_o,src);
-
-      /////////////////////////////////////////////////////
-      // src_o = (source_o - Moe MeeInv source_e)
-      /////////////////////////////////////////////////////
-      _Matrix.MooeeInv(src_e,tmp);     assert(  tmp.Checkerboard() ==Even);
-      _Matrix.Meooe   (tmp,Mtmp);      assert( Mtmp.Checkerboard() ==Odd);     
-      tmp=src_o-Mtmp;                  assert(  tmp.Checkerboard() ==Odd);     
-
-      _Matrix.Mooee(tmp,src_o); // Extra factor of "m" in source from dumb choice of matrix norm.
-    }
-    virtual void RedBlackSolution(Matrix & _Matrix,const Field &sol_o, const Field &src_e_c,Field &sol)
-    {
-      GridBase *grid = _Matrix.RedBlackGrid();
-      GridBase *fgrid= _Matrix.Grid();
-
-      Field   tmp(grid);
-      Field   sol_e(grid);
-      Field   src_e(grid);
-
-      src_e = src_e_c; // Const correctness
-
-      ///////////////////////////////////////////////////
-      // sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
-      ///////////////////////////////////////////////////
-      _Matrix.Meooe(sol_o,tmp);        assert(  tmp.Checkerboard()   ==Even);
-      src_e = src_e-tmp;               assert(  src_e.Checkerboard() ==Even);
-      _Matrix.MooeeInv(src_e,sol_e);   assert(  sol_e.Checkerboard() ==Even);
-     
-      setCheckerboard(sol,sol_e); assert(  sol_e.Checkerboard() ==Even);
-      setCheckerboard(sol,sol_o); assert(  sol_o.Checkerboard() ==Odd );
-    }
-    virtual void RedBlackSolve   (Matrix & _Matrix,const Field &src_o, Field &sol_o)
-    {
-      SchurStaggeredOperator<Matrix,Field> _HermOpEO(_Matrix);
-      this->_HermitianRBSolver(_HermOpEO,src_o,sol_o);  assert(sol_o.Checkerboard()==Odd);
-    };
-    virtual void RedBlackSolve   (Matrix & _Matrix,const std::vector<Field> &src_o,  std::vector<Field> &sol_o)
-    {
-      SchurStaggeredOperator<Matrix,Field> _HermOpEO(_Matrix);
-      this->_HermitianRBSolver(_HermOpEO,src_o,sol_o); 
-    }
-  };
-  template<class Field> using SchurRedBlackStagSolve = SchurRedBlackStaggeredSolve<Field>;
-
-  ///////////////////////////////////////////////////////////////////////////////////////////////////////
-  // Site diagonal has Mooee on it.
-  ///////////////////////////////////////////////////////////////////////////////////////////////////////
-  template<class Field> class SchurRedBlackDiagMooeeSolve : public SchurRedBlackBase<Field> {
-  public:
-    typedef CheckerBoardedSparseMatrixBase<Field> Matrix;
-
-    SchurRedBlackDiagMooeeSolve(OperatorFunction<Field> &HermitianRBSolver, const bool initSubGuess = false,
-        const bool _solnAsInitGuess = false)  
-      : SchurRedBlackBase<Field> (HermitianRBSolver,initSubGuess,_solnAsInitGuess) {};
-
-
-    //////////////////////////////////////////////////////
-    // Override RedBlack specialisation
-    //////////////////////////////////////////////////////
-    virtual void RedBlackSource(Matrix & _Matrix,const Field &src, Field &src_e,Field &src_o)
-    {
-      GridBase *grid = _Matrix.RedBlackGrid();
-      GridBase *fgrid= _Matrix.Grid();
-
-      Field   tmp(grid);
-      Field  Mtmp(grid);
-
-      pickCheckerboard(Even,src_e,src);
-      pickCheckerboard(Odd ,src_o,src);
-
-      /////////////////////////////////////////////////////
-      // src_o = Mdag * (source_o - Moe MeeInv source_e)
-      /////////////////////////////////////////////////////
-      _Matrix.MooeeInv(src_e,tmp);     assert(  tmp.Checkerboard() ==Even);
-      _Matrix.Meooe   (tmp,Mtmp);      assert( Mtmp.Checkerboard() ==Odd);     
-      tmp=src_o-Mtmp;                  assert(  tmp.Checkerboard() ==Odd);     
-
-      // get the right MpcDag
-      SchurDiagMooeeOperator<Matrix,Field> _HermOpEO(_Matrix);
-      _HermOpEO.MpcDag(tmp,src_o);     assert(src_o.Checkerboard() ==Odd);       
-
-    }
-    virtual void RedBlackSolution(Matrix & _Matrix,const Field &sol_o, const Field &src_e,Field &sol)
-    {
-      GridBase *grid = _Matrix.RedBlackGrid();
-      GridBase *fgrid= _Matrix.Grid();
-
-      Field   tmp(grid);
-      Field  sol_e(grid);
-      Field  src_e_i(grid);
-      ///////////////////////////////////////////////////
-      // sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
-      ///////////////////////////////////////////////////
-      _Matrix.Meooe(sol_o,tmp);          assert(  tmp.Checkerboard()   ==Even);
-      src_e_i = src_e-tmp;               assert(  src_e_i.Checkerboard() ==Even);
-      _Matrix.MooeeInv(src_e_i,sol_e);   assert(  sol_e.Checkerboard() ==Even);
-     
-      setCheckerboard(sol,sol_e); assert(  sol_e.Checkerboard() ==Even);
-      setCheckerboard(sol,sol_o); assert(  sol_o.Checkerboard() ==Odd );
-    }
-    virtual void RedBlackSolve   (Matrix & _Matrix,const Field &src_o, Field &sol_o)
-    {
-      SchurDiagMooeeOperator<Matrix,Field> _HermOpEO(_Matrix);
-      this->_HermitianRBSolver(_HermOpEO,src_o,sol_o);  assert(sol_o.Checkerboard()==Odd);
-    };
-    virtual void RedBlackSolve   (Matrix & _Matrix,const std::vector<Field> &src_o,  std::vector<Field> &sol_o)
-    {
-      SchurDiagMooeeOperator<Matrix,Field> _HermOpEO(_Matrix);
-      this->_HermitianRBSolver(_HermOpEO,src_o,sol_o); 
-    }
-  };
-
-  template<class Field> class NonHermitianSchurRedBlackDiagMooeeSolve : public SchurRedBlackBase<Field> 
-  {
-    public:
-      typedef CheckerBoardedSparseMatrixBase<Field> Matrix;
-
-      NonHermitianSchurRedBlackDiagMooeeSolve(OperatorFunction<Field>& RBSolver, const bool initSubGuess = false,
-          const bool _solnAsInitGuess = false)  
-      : SchurRedBlackBase<Field>(RBSolver, initSubGuess, _solnAsInitGuess) {};
-
-      //////////////////////////////////////////////////////
-      // Override RedBlack specialisation
-      //////////////////////////////////////////////////////
-      virtual void RedBlackSource(Matrix& _Matrix, const Field& src, Field& src_e, Field& src_o)
-      {
-        GridBase* grid  = _Matrix.RedBlackGrid();
-        GridBase* fgrid = _Matrix.Grid();
-
-        Field  tmp(grid);
-        Field Mtmp(grid);
-
-        pickCheckerboard(Even, src_e, src);
-        pickCheckerboard(Odd , src_o, src);
-
-        /////////////////////////////////////////////////////
-        // src_o = Mdag * (source_o - Moe MeeInv source_e)
-        /////////////////////////////////////////////////////
-        _Matrix.MooeeInv(src_e, tmp);   assert(   tmp.Checkerboard() == Even );
-        _Matrix.Meooe   (tmp, Mtmp);    assert(  Mtmp.Checkerboard() == Odd  );     
-        src_o -= Mtmp;                  assert( src_o.Checkerboard() == Odd  );     
-      }
-      
-      virtual void RedBlackSolution(Matrix& _Matrix, const Field& sol_o, const Field& src_e, Field& sol)
-      {
-        GridBase* grid  = _Matrix.RedBlackGrid();
-        GridBase* fgrid = _Matrix.Grid();
-
-        Field     tmp(grid);
-        Field   sol_e(grid);
-        Field src_e_i(grid);
-        
-        ///////////////////////////////////////////////////
-        // sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
-        ///////////////////////////////////////////////////
-        _Matrix.Meooe(sol_o, tmp);         assert(     tmp.Checkerboard() == Even );
-        src_e_i = src_e - tmp;             assert( src_e_i.Checkerboard() == Even );
-        _Matrix.MooeeInv(src_e_i, sol_e);  assert(   sol_e.Checkerboard() == Even );
-       
-        setCheckerboard(sol, sol_e); assert( sol_e.Checkerboard() == Even );
-        setCheckerboard(sol, sol_o); assert( sol_o.Checkerboard() == Odd  );
-      }
-
-      virtual void RedBlackSolve(Matrix& _Matrix, const Field& src_o, Field& sol_o)
-      {
-        NonHermitianSchurDiagMooeeOperator<Matrix,Field> _OpEO(_Matrix);
-        this->_HermitianRBSolver(_OpEO, src_o, sol_o);  assert(sol_o.Checkerboard() == Odd);
-      }
-
-      virtual void RedBlackSolve(Matrix& _Matrix, const std::vector<Field>& src_o, std::vector<Field>& sol_o)
-      {
-        NonHermitianSchurDiagMooeeOperator<Matrix,Field> _OpEO(_Matrix);
-        this->_HermitianRBSolver(_OpEO, src_o, sol_o); 
-      }
-  };
-
-  ///////////////////////////////////////////////////////////////////////////////////////////////////////
-  // Site diagonal is identity, right preconditioned by Mee^inv
-  // ( 1 - Meo Moo^inv Moe Mee^inv  ) phi =( 1 - Meo Moo^inv Moe Mee^inv  ) Mee psi =  = eta  = eta
-  //=> psi = MeeInv phi
-  ///////////////////////////////////////////////////////////////////////////////////////////////////////
-  template<class Field> class SchurRedBlackDiagTwoSolve : public SchurRedBlackBase<Field> {
-  public:
-    typedef CheckerBoardedSparseMatrixBase<Field> Matrix;
-
-    /////////////////////////////////////////////////////
-    // Wrap the usual normal equations Schur trick
-    /////////////////////////////////////////////////////
-  SchurRedBlackDiagTwoSolve(OperatorFunction<Field> &HermitianRBSolver, const bool initSubGuess = false,
-      const bool _solnAsInitGuess = false)  
-    : SchurRedBlackBase<Field>(HermitianRBSolver,initSubGuess,_solnAsInitGuess) {};
-
-    virtual void RedBlackSource(Matrix & _Matrix,const Field &src, Field &src_e,Field &src_o)
-    {
-      GridBase *grid = _Matrix.RedBlackGrid();
-      GridBase *fgrid= _Matrix.Grid();
-
-      SchurDiagTwoOperator<Matrix,Field> _HermOpEO(_Matrix);
-      
-      Field   tmp(grid);
-      Field  Mtmp(grid);
-
-      pickCheckerboard(Even,src_e,src);
-      pickCheckerboard(Odd ,src_o,src);
-    
-      /////////////////////////////////////////////////////
-      // src_o = Mdag * (source_o - Moe MeeInv source_e)
-      /////////////////////////////////////////////////////
-      _Matrix.MooeeInv(src_e,tmp);     assert(  tmp.Checkerboard() ==Even);
-      _Matrix.Meooe   (tmp,Mtmp);      assert( Mtmp.Checkerboard() ==Odd);     
-      tmp=src_o-Mtmp;                  assert(  tmp.Checkerboard() ==Odd);     
-
-      // get the right MpcDag
-      _HermOpEO.MpcDag(tmp,src_o);     assert(src_o.Checkerboard() ==Odd);       
-    }
-
-    virtual void RedBlackSolution(Matrix & _Matrix,const Field &sol_o, const Field &src_e,Field &sol)
-    {
-      GridBase *grid = _Matrix.RedBlackGrid();
-      GridBase *fgrid= _Matrix.Grid();
-
-      Field   sol_o_i(grid);
-      Field   tmp(grid);
-      Field   sol_e(grid);
-
-      ////////////////////////////////////////////////
-      // MooeeInv due to pecond
-      ////////////////////////////////////////////////
-      _Matrix.MooeeInv(sol_o,tmp);
-      sol_o_i = tmp;
-
-      ///////////////////////////////////////////////////
-      // sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
-      ///////////////////////////////////////////////////
-      _Matrix.Meooe(sol_o_i,tmp);    assert(  tmp.Checkerboard()   ==Even);
-      tmp = src_e-tmp;               assert(  src_e.Checkerboard() ==Even);
-      _Matrix.MooeeInv(tmp,sol_e);   assert(  sol_e.Checkerboard() ==Even);
-     
-      setCheckerboard(sol,sol_e);    assert(  sol_e.Checkerboard() ==Even);
-      setCheckerboard(sol,sol_o_i);  assert(  sol_o_i.Checkerboard() ==Odd );
-    };
-
-    virtual void RedBlackSolve   (Matrix & _Matrix,const Field &src_o, Field &sol_o)
-    {
-      SchurDiagTwoOperator<Matrix,Field> _HermOpEO(_Matrix);
-      this->_HermitianRBSolver(_HermOpEO,src_o,sol_o);
-    };
-    virtual void RedBlackSolve   (Matrix & _Matrix,const std::vector<Field> &src_o,  std::vector<Field> &sol_o)
-    {
-      SchurDiagTwoOperator<Matrix,Field> _HermOpEO(_Matrix);
-      this->_HermitianRBSolver(_HermOpEO,src_o,sol_o); 
-    }
-  };
-
-  template<class Field> class NonHermitianSchurRedBlackDiagTwoSolve : public SchurRedBlackBase<Field> 
-  {
-    public:
-      typedef CheckerBoardedSparseMatrixBase<Field> Matrix;
-
-      /////////////////////////////////////////////////////
-      // Wrap the usual normal equations Schur trick
-      /////////////////////////////////////////////////////
-      NonHermitianSchurRedBlackDiagTwoSolve(OperatorFunction<Field>& RBSolver, const bool initSubGuess = false,
-          const bool _solnAsInitGuess = false)  
-      : SchurRedBlackBase<Field>(RBSolver, initSubGuess, _solnAsInitGuess) {};
-
-      virtual void RedBlackSource(Matrix& _Matrix, const Field& src, Field& src_e, Field& src_o)
-      {
-        GridBase* grid  = _Matrix.RedBlackGrid();
-        GridBase* fgrid = _Matrix.Grid();
-
-        Field  tmp(grid);
-        Field Mtmp(grid);
-
-        pickCheckerboard(Even, src_e, src);
-        pickCheckerboard(Odd , src_o, src);
-      
-        /////////////////////////////////////////////////////
-        // src_o = Mdag * (source_o - Moe MeeInv source_e)
-        /////////////////////////////////////////////////////
-        _Matrix.MooeeInv(src_e, tmp);   assert(   tmp.Checkerboard() == Even );
-        _Matrix.Meooe   (tmp, Mtmp);    assert(  Mtmp.Checkerboard() == Odd  );     
-        src_o -= Mtmp;                  assert( src_o.Checkerboard() == Odd  );     
-      }
-
-      virtual void RedBlackSolution(Matrix& _Matrix, const Field& sol_o, const Field& src_e, Field& sol)
-      {
-        GridBase* grid  = _Matrix.RedBlackGrid();
-        GridBase* fgrid = _Matrix.Grid();
-
-        Field sol_o_i(grid);
-        Field     tmp(grid);
-        Field   sol_e(grid);
-
-        ////////////////////////////////////////////////
-        // MooeeInv due to pecond
-        ////////////////////////////////////////////////
-        _Matrix.MooeeInv(sol_o, tmp);
-        sol_o_i = tmp;
-
-        ///////////////////////////////////////////////////
-        // sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
-        ///////////////////////////////////////////////////
-        _Matrix.Meooe(sol_o_i, tmp);    assert(   tmp.Checkerboard() == Even );
-        tmp = src_e - tmp;              assert( src_e.Checkerboard() == Even );
-        _Matrix.MooeeInv(tmp, sol_e);   assert( sol_e.Checkerboard() == Even );
-       
-        setCheckerboard(sol, sol_e);    assert(   sol_e.Checkerboard() == Even );
-        setCheckerboard(sol, sol_o_i);  assert( sol_o_i.Checkerboard() == Odd  );
-      };
-
-      virtual void RedBlackSolve(Matrix& _Matrix, const Field& src_o, Field& sol_o)
-      {
-        NonHermitianSchurDiagTwoOperator<Matrix,Field> _OpEO(_Matrix);
-        this->_HermitianRBSolver(_OpEO, src_o, sol_o);
-      };
-
-      virtual void RedBlackSolve(Matrix& _Matrix, const std::vector<Field>& src_o,  std::vector<Field>& sol_o)
-      {
-        NonHermitianSchurDiagTwoOperator<Matrix,Field> _OpEO(_Matrix);
-        this->_HermitianRBSolver(_OpEO, src_o, sol_o); 
-      }
-  };
-}
-
-#endif

Grid/allocator/AlignedAllocator.h

@@ -1,182 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/AlignedAllocator.h
-
-    Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#pragma once
-
-NAMESPACE_BEGIN(Grid);
-
-template<typename _Tp>
-class alignedAllocator {
-public: 
-  typedef std::size_t     size_type;
-  typedef std::ptrdiff_t  difference_type;
-  typedef _Tp*       pointer;
-  typedef const _Tp* const_pointer;
-  typedef _Tp&       reference;
-  typedef const _Tp& const_reference;
-  typedef _Tp        value_type;
-
-  template<typename _Tp1>  struct rebind { typedef alignedAllocator<_Tp1> other; };
-  alignedAllocator() throw() { }
-  alignedAllocator(const alignedAllocator&) throw() { }
-  template<typename _Tp1> alignedAllocator(const alignedAllocator<_Tp1>&) throw() { }
-  ~alignedAllocator() throw() { }
-  pointer       address(reference __x)       const { return &__x; }
-  size_type  max_size() const throw() { return size_t(-1) / sizeof(_Tp); }
-
-  pointer allocate(size_type __n, const void* _p= 0)
-  { 
-    size_type bytes = __n*sizeof(_Tp);
-    profilerAllocate(bytes);
-    _Tp *ptr = (_Tp*) MemoryManager::CpuAllocate(bytes);
-    assert( ( (_Tp*)ptr != (_Tp *)NULL ) );
-    return ptr;
-  }
-
-  void deallocate(pointer __p, size_type __n) 
-  { 
-    size_type bytes = __n * sizeof(_Tp);
-    profilerFree(bytes);
-    MemoryManager::CpuFree((void *)__p,bytes);
-  }
-
-  // FIXME: hack for the copy constructor: it must be avoided to avoid single thread loop
-  void construct(pointer __p, const _Tp& __val) { assert(0);};
-  void construct(pointer __p) { };
-  void destroy(pointer __p) { };
-};
-template<typename _Tp>  inline bool operator==(const alignedAllocator<_Tp>&, const alignedAllocator<_Tp>&){ return true; }
-template<typename _Tp>  inline bool operator!=(const alignedAllocator<_Tp>&, const alignedAllocator<_Tp>&){ return false; }
-
-//////////////////////////////////////////////////////////////////////////////////////
-// Unified virtual memory
-//////////////////////////////////////////////////////////////////////////////////////
-template<typename _Tp>
-class uvmAllocator {
-public: 
-  typedef std::size_t     size_type;
-  typedef std::ptrdiff_t  difference_type;
-  typedef _Tp*       pointer;
-  typedef const _Tp* const_pointer;
-  typedef _Tp&       reference;
-  typedef const _Tp& const_reference;
-  typedef _Tp        value_type;
-
-  template<typename _Tp1>  struct rebind { typedef uvmAllocator<_Tp1> other; };
-  uvmAllocator() throw() { }
-  uvmAllocator(const uvmAllocator&) throw() { }
-  template<typename _Tp1> uvmAllocator(const uvmAllocator<_Tp1>&) throw() { }
-  ~uvmAllocator() throw() { }
-  pointer       address(reference __x)       const { return &__x; }
-  size_type  max_size() const throw() { return size_t(-1) / sizeof(_Tp); }
-
-  pointer allocate(size_type __n, const void* _p= 0)
-  { 
-    size_type bytes = __n*sizeof(_Tp);
-    profilerAllocate(bytes);
-    _Tp *ptr = (_Tp*) MemoryManager::SharedAllocate(bytes);
-    assert( ( (_Tp*)ptr != (_Tp *)NULL ) );
-    return ptr;
-  }
-
-  void deallocate(pointer __p, size_type __n) 
-  { 
-    size_type bytes = __n * sizeof(_Tp);
-    profilerFree(bytes);
-    MemoryManager::SharedFree((void *)__p,bytes);
-  }
-
-  void construct(pointer __p, const _Tp& __val) { new((void *)__p) _Tp(__val); };
-  void construct(pointer __p) { };
-  void destroy(pointer __p) { };
-};
-template<typename _Tp>  inline bool operator==(const uvmAllocator<_Tp>&, const uvmAllocator<_Tp>&){ return true; }
-template<typename _Tp>  inline bool operator!=(const uvmAllocator<_Tp>&, const uvmAllocator<_Tp>&){ return false; }
-
-////////////////////////////////////////////////////////////////////////////////
-// Device memory
-////////////////////////////////////////////////////////////////////////////////
-template<typename _Tp>
-class devAllocator {
-public: 
-  typedef std::size_t     size_type;
-  typedef std::ptrdiff_t  difference_type;
-  typedef _Tp*       pointer;
-  typedef const _Tp* const_pointer;
-  typedef _Tp&       reference;
-  typedef const _Tp& const_reference;
-  typedef _Tp        value_type;
-
-  template<typename _Tp1>  struct rebind { typedef devAllocator<_Tp1> other; };
-  devAllocator() throw() { }
-  devAllocator(const devAllocator&) throw() { }
-  template<typename _Tp1> devAllocator(const devAllocator<_Tp1>&) throw() { }
-  ~devAllocator() throw() { }
-  pointer       address(reference __x)       const { return &__x; }
-  size_type  max_size() const throw() { return size_t(-1) / sizeof(_Tp); }
-
-  pointer allocate(size_type __n, const void* _p= 0)
-  { 
-    size_type bytes = __n*sizeof(_Tp);
-    profilerAllocate(bytes);
-    _Tp *ptr = (_Tp*) MemoryManager::AcceleratorAllocate(bytes);
-    assert( ( (_Tp*)ptr != (_Tp *)NULL ) );
-    return ptr;
-  }
-
-  void deallocate(pointer __p, size_type __n) 
-  { 
-    size_type bytes = __n * sizeof(_Tp);
-    profilerFree(bytes);
-    MemoryManager::AcceleratorFree((void *)__p,bytes);
-  }
-  void construct(pointer __p, const _Tp& __val) { };
-  void construct(pointer __p) { };
-  void destroy(pointer __p) { };
-};
-template<typename _Tp>  inline bool operator==(const devAllocator<_Tp>&, const devAllocator<_Tp>&){ return true; }
-template<typename _Tp>  inline bool operator!=(const devAllocator<_Tp>&, const devAllocator<_Tp>&){ return false; }
-
-////////////////////////////////////////////////////////////////////////////////
-// Template typedefs
-////////////////////////////////////////////////////////////////////////////////
-#ifdef ACCELERATOR_CSHIFT
-// Cshift on device
-template<class T> using cshiftAllocator = devAllocator<T>;
-#else
-// Cshift on host
-template<class T> using cshiftAllocator = std::allocator<T>;
-#endif
-
-template<class T> using Vector     = std::vector<T,uvmAllocator<T> >;           
-template<class T> using commVector = std::vector<T,devAllocator<T> >;
-template<class T> using cshiftVector = std::vector<T,cshiftAllocator<T> >;
-
-NAMESPACE_END(Grid);
-
-

Grid/allocator/Allocator.h

@@ -1,4 +0,0 @@
-#pragma once
-#include <Grid/allocator/MemoryStats.h>
-#include <Grid/allocator/MemoryManager.h>
-#include <Grid/allocator/AlignedAllocator.h>

Grid/allocator/MemoryManager.cc

@@ -1,254 +0,0 @@
-#include <Grid/GridCore.h>
-
-NAMESPACE_BEGIN(Grid);
-
-/*Allocation types, saying which pointer cache should be used*/
-#define Cpu      (0)
-#define CpuSmall (1)
-#define Acc      (2)
-#define AccSmall (3)
-#define Shared   (4)
-#define SharedSmall (5)
-uint64_t total_shared;
-uint64_t total_device;
-uint64_t total_host;;
-void MemoryManager::PrintBytes(void)
-{
-  std::cout << " MemoryManager : "<<total_shared<<" shared      bytes "<<std::endl;
-  std::cout << " MemoryManager : "<<total_device<<" accelerator bytes "<<std::endl;
-  std::cout << " MemoryManager : "<<total_host  <<" cpu         bytes "<<std::endl;
-}
-
-//////////////////////////////////////////////////////////////////////
-// Data tables for recently freed pooiniter caches
-//////////////////////////////////////////////////////////////////////
-MemoryManager::AllocationCacheEntry MemoryManager::Entries[MemoryManager::NallocType][MemoryManager::NallocCacheMax];
-int MemoryManager::Victim[MemoryManager::NallocType];
-int MemoryManager::Ncache[MemoryManager::NallocType] = { 8, 32, 8, 32, 8, 32 };
-
-//////////////////////////////////////////////////////////////////////
-// Actual allocation and deallocation utils
-//////////////////////////////////////////////////////////////////////
-void *MemoryManager::AcceleratorAllocate(size_t bytes)
-{
-  void *ptr = (void *) Lookup(bytes,Acc);
-  if ( ptr == (void *) NULL ) {
-    ptr = (void *) acceleratorAllocDevice(bytes);
-    total_device+=bytes;
-  }
-  return ptr;
-}
-void  MemoryManager::AcceleratorFree    (void *ptr,size_t bytes)
-{
-  void *__freeme = Insert(ptr,bytes,Acc);
-  if ( __freeme ) {
-    acceleratorFreeDevice(__freeme);
-    total_device-=bytes;
-    //    PrintBytes();
-  }
-}
-void *MemoryManager::SharedAllocate(size_t bytes)
-{
-  void *ptr = (void *) Lookup(bytes,Shared);
-  if ( ptr == (void *) NULL ) {
-    ptr = (void *) acceleratorAllocShared(bytes);
-    total_shared+=bytes;
-    //    std::cout <<"AcceleratorAllocate: allocated Shared pointer "<<std::hex<<ptr<<std::dec<<std::endl;
-    //    PrintBytes();
-  }
-  return ptr;
-}
-void  MemoryManager::SharedFree    (void *ptr,size_t bytes)
-{
-  void *__freeme = Insert(ptr,bytes,Shared);
-  if ( __freeme ) {
-    acceleratorFreeShared(__freeme);
-    total_shared-=bytes;
-    //    PrintBytes();
-  }
-}
-#ifdef GRID_UVM
-void *MemoryManager::CpuAllocate(size_t bytes)
-{
-  void *ptr = (void *) Lookup(bytes,Cpu);
-  if ( ptr == (void *) NULL ) {
-    ptr = (void *) acceleratorAllocShared(bytes);
-    total_host+=bytes;
-  }
-  return ptr;
-}
-void  MemoryManager::CpuFree    (void *_ptr,size_t bytes)
-{
-  NotifyDeletion(_ptr);
-  void *__freeme = Insert(_ptr,bytes,Cpu);
-  if ( __freeme ) { 
-    acceleratorFreeShared(__freeme);
-    total_host-=bytes;
-  }
-}
-#else
-void *MemoryManager::CpuAllocate(size_t bytes)
-{
-  void *ptr = (void *) Lookup(bytes,Cpu);
-  if ( ptr == (void *) NULL ) {
-    ptr = (void *) acceleratorAllocCpu(bytes);
-    total_host+=bytes;
-  }
-  return ptr;
-}
-void  MemoryManager::CpuFree    (void *_ptr,size_t bytes)
-{
-  NotifyDeletion(_ptr);
-  void *__freeme = Insert(_ptr,bytes,Cpu);
-  if ( __freeme ) { 
-    acceleratorFreeCpu(__freeme);
-    total_host-=bytes;
-  }
-}
-#endif
-
-//////////////////////////////////////////
-// call only once
-//////////////////////////////////////////
-void MemoryManager::Init(void)
-{
-
-  char * str;
-  int Nc;
-  int NcS;
-  
-  str= getenv("GRID_ALLOC_NCACHE_LARGE");
-  if ( str ) {
-    Nc = atoi(str);
-    if ( (Nc>=0) && (Nc < NallocCacheMax)) {
-      Ncache[Cpu]=Nc;
-      Ncache[Acc]=Nc;
-      Ncache[Shared]=Nc;
-    }
-  }
-
-  str= getenv("GRID_ALLOC_NCACHE_SMALL");
-  if ( str ) {
-    Nc = atoi(str);
-    if ( (Nc>=0) && (Nc < NallocCacheMax)) {
-      Ncache[CpuSmall]=Nc;
-      Ncache[AccSmall]=Nc;
-      Ncache[SharedSmall]=Nc;
-    }
-  }
-
-}
-
-void MemoryManager::InitMessage(void) {
-
-#ifndef GRID_UVM
-  std::cout << GridLogMessage << "MemoryManager Cache "<< MemoryManager::DeviceMaxBytes <<" bytes "<<std::endl;
-#endif
-  
-  std::cout << GridLogMessage<< "MemoryManager::Init() setting up"<<std::endl;
-#ifdef ALLOCATION_CACHE
-  std::cout << GridLogMessage<< "MemoryManager::Init() cache pool for recent allocations: SMALL "<<Ncache[CpuSmall]<<" LARGE "<<Ncache[Cpu]<<std::endl;
-#endif
-  
-#ifdef GRID_UVM
-  std::cout << GridLogMessage<< "MemoryManager::Init() Unified memory space"<<std::endl;
-#ifdef GRID_CUDA
-  std::cout << GridLogMessage<< "MemoryManager::Init() Using cudaMallocManaged"<<std::endl;
-#endif
-#ifdef GRID_HIP
-  std::cout << GridLogMessage<< "MemoryManager::Init() Using hipMallocManaged"<<std::endl;
-#endif
-#ifdef GRID_SYCL
-  std::cout << GridLogMessage<< "MemoryManager::Init() Using SYCL malloc_shared"<<std::endl;
-#endif
-#else
-  std::cout << GridLogMessage<< "MemoryManager::Init() Non unified: Caching accelerator data in dedicated memory"<<std::endl;
-#ifdef GRID_CUDA
-  std::cout << GridLogMessage<< "MemoryManager::Init() Using cudaMalloc"<<std::endl;
-#endif
-#ifdef GRID_HIP
-  std::cout << GridLogMessage<< "MemoryManager::Init() Using hipMalloc"<<std::endl;
-#endif
-#ifdef GRID_SYCL
-  std::cout << GridLogMessage<< "MemoryManager::Init() Using SYCL malloc_device"<<std::endl;
-#endif
-#endif
-
-}
-
-void *MemoryManager::Insert(void *ptr,size_t bytes,int type) 
-{
-#ifdef ALLOCATION_CACHE
-  bool small = (bytes < GRID_ALLOC_SMALL_LIMIT);
-  int cache = type + small;
-  return Insert(ptr,bytes,Entries[cache],Ncache[cache],Victim[cache]);  
-#else
-  return ptr;
-#endif
-}
-
-void *MemoryManager::Insert(void *ptr,size_t bytes,AllocationCacheEntry *entries,int ncache,int &victim) 
-{
-  assert(ncache>0);
-#ifdef GRID_OMP
-  assert(omp_in_parallel()==0);
-#endif 
-
-  void * ret = NULL;
-  int v = -1;
-
-  for(int e=0;e<ncache;e++) {
-    if ( entries[e].valid==0 ) {
-      v=e; 
-      break;
-    }
-  }
-
-  if ( v==-1 ) {
-    v=victim;
-    victim = (victim+1)%ncache;
-  }
-
-  if ( entries[v].valid ) {
-    ret = entries[v].address;
-    entries[v].valid = 0;
-    entries[v].address = NULL;
-    entries[v].bytes = 0;
-  }
-
-  entries[v].address=ptr;
-  entries[v].bytes  =bytes;
-  entries[v].valid  =1;
-
-  return ret;
-}
-
-void *MemoryManager::Lookup(size_t bytes,int type)
-{
-#ifdef ALLOCATION_CACHE
-  bool small = (bytes < GRID_ALLOC_SMALL_LIMIT);
-  int cache = type+small;
-  return Lookup(bytes,Entries[cache],Ncache[cache]);
-#else
-  return NULL;
-#endif
-}
-
-void *MemoryManager::Lookup(size_t bytes,AllocationCacheEntry *entries,int ncache) 
-{
-  assert(ncache>0);
-#ifdef GRID_OMP
-  assert(omp_in_parallel()==0);
-#endif 
-  for(int e=0;e<ncache;e++){
-    if ( entries[e].valid && ( entries[e].bytes == bytes ) ) {
-      entries[e].valid = 0;
-      return entries[e].address;
-    }
-  }
-  return NULL;
-}
-
-
-NAMESPACE_END(Grid);
-

Grid/allocator/MemoryManager.h

@@ -1,182 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/MemoryManager.h
-
-    Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#pragma once
-#include <list> 
-#include <unordered_map>  
-
-NAMESPACE_BEGIN(Grid);
-
-// Move control to configure.ac and Config.h?
-
-#define ALLOCATION_CACHE
-#define GRID_ALLOC_ALIGN (2*1024*1024)
-#define GRID_ALLOC_SMALL_LIMIT (4096)
-
-/*Pinning pages is costly*/
-////////////////////////////////////////////////////////////////////////////
-// Advise the LatticeAccelerator class
-////////////////////////////////////////////////////////////////////////////
-enum ViewAdvise {
- AdviseDefault       = 0x0,    // Regular data
- AdviseInfrequentUse = 0x1     // Advise that the data is used infrequently.  This can
-                               // significantly influence performance of bulk storage.
- 
- // AdviseTransient      = 0x2,   // Data will mostly be read.  On some architectures
-                               // enables read-only copies of memory to be kept on
-                               // host and device.
-
- // AdviseAcceleratorWriteDiscard = 0x4  // Field will be written in entirety on device
-
-};
-
-////////////////////////////////////////////////////////////////////////////
-// View Access Mode
-////////////////////////////////////////////////////////////////////////////
-enum ViewMode {
-  AcceleratorRead  = 0x01,
-  AcceleratorWrite = 0x02,
-  AcceleratorWriteDiscard = 0x04,
-  CpuRead  = 0x08,
-  CpuWrite = 0x10,
-  CpuWriteDiscard = 0x10 // same for now
-};
-
-class MemoryManager {
-private:
-
-  ////////////////////////////////////////////////////////////
-  // For caching recently freed allocations
-  ////////////////////////////////////////////////////////////
-  typedef struct { 
-    void *address;
-    size_t bytes;
-    int valid;
-  } AllocationCacheEntry;
-
-  static const int NallocCacheMax=128; 
-  static const int NallocType=6;
-  static AllocationCacheEntry Entries[NallocType][NallocCacheMax];
-  static int Victim[NallocType];
-  static int Ncache[NallocType];
-
-  /////////////////////////////////////////////////
-  // Free pool
-  /////////////////////////////////////////////////
-  static void *Insert(void *ptr,size_t bytes,int type) ;
-  static void *Lookup(size_t bytes,int type) ;
-  static void *Insert(void *ptr,size_t bytes,AllocationCacheEntry *entries,int ncache,int &victim) ;
-  static void *Lookup(size_t bytes,AllocationCacheEntry *entries,int ncache) ;
-
-  static void PrintBytes(void);
- public:
-  static void Init(void);
-  static void InitMessage(void);
-  static void *AcceleratorAllocate(size_t bytes);
-  static void  AcceleratorFree    (void *ptr,size_t bytes);
-  static void *SharedAllocate(size_t bytes);
-  static void  SharedFree    (void *ptr,size_t bytes);
-  static void *CpuAllocate(size_t bytes);
-  static void  CpuFree    (void *ptr,size_t bytes);
-
-  ////////////////////////////////////////////////////////
-  // Footprint tracking
-  ////////////////////////////////////////////////////////
-  static uint64_t     DeviceBytes;
-  static uint64_t     DeviceLRUBytes;
-  static uint64_t     DeviceMaxBytes;
-  static uint64_t     HostToDeviceBytes;
-  static uint64_t     DeviceToHostBytes;
-  static uint64_t     HostToDeviceXfer;
-  static uint64_t     DeviceToHostXfer;
- 
- private:
-#ifndef GRID_UVM
-  //////////////////////////////////////////////////////////////////////
-  // Data tables for ViewCache
-  //////////////////////////////////////////////////////////////////////
-  typedef std::list<uint64_t> LRU_t;
-  typedef typename LRU_t::iterator LRUiterator;
-  typedef struct { 
-    int        LRU_valid;
-    LRUiterator LRU_entry;
-    uint64_t CpuPtr;
-    uint64_t AccPtr;
-    size_t   bytes;
-    uint32_t transient;
-    uint32_t state;
-    uint32_t accLock;
-    uint32_t cpuLock;
-  } AcceleratorViewEntry;
-  
-  typedef std::unordered_map<uint64_t,AcceleratorViewEntry> AccViewTable_t;
-  typedef typename AccViewTable_t::iterator AccViewTableIterator ;
-
-  static AccViewTable_t AccViewTable;
-  static LRU_t LRU;
-
-  /////////////////////////////////////////////////
-  // Device motion
-  /////////////////////////////////////////////////
-  static void  Create(uint64_t CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint);
-  static void  EvictVictims(uint64_t bytes); // Frees up <bytes>
-  static void  Evict(AcceleratorViewEntry &AccCache);
-  static void  Flush(AcceleratorViewEntry &AccCache);
-  static void  Clone(AcceleratorViewEntry &AccCache);
-  static void  AccDiscard(AcceleratorViewEntry &AccCache);
-  static void  CpuDiscard(AcceleratorViewEntry &AccCache);
-
-  //  static void  LRUupdate(AcceleratorViewEntry &AccCache);
-  static void  LRUinsert(AcceleratorViewEntry &AccCache);
-  static void  LRUremove(AcceleratorViewEntry &AccCache);
-  
-  // manage entries in the table
-  static int                  EntryPresent(uint64_t CpuPtr);
-  static void                 EntryCreate(uint64_t CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint);
-  static void                 EntryErase (uint64_t CpuPtr);
-  static AccViewTableIterator EntryLookup(uint64_t CpuPtr);
-  static void                 EntrySet   (uint64_t CpuPtr,AcceleratorViewEntry &entry);
-
-  static void     AcceleratorViewClose(uint64_t AccPtr);
-  static uint64_t AcceleratorViewOpen(uint64_t  CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint);
-  static void     CpuViewClose(uint64_t Ptr);
-  static uint64_t CpuViewOpen(uint64_t  CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint);
-#endif
-  static void NotifyDeletion(void * CpuPtr);
-
- public:
-  static void Print(void);
-  static int   isOpen   (void* CpuPtr);
-  static void  ViewClose(void* CpuPtr,ViewMode mode);
-  static void *ViewOpen (void* CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint);
-
-};
-
-NAMESPACE_END(Grid);
-
-

Grid/allocator/MemoryManagerCache.cc

@@ -1,468 +0,0 @@
-#include <Grid/GridCore.h>
-
-#ifndef GRID_UVM
-
-#warning "Using explicit device memory copies"
-NAMESPACE_BEGIN(Grid);
-#define dprintf(...)
-
-////////////////////////////////////////////////////////////
-// For caching copies of data on device
-////////////////////////////////////////////////////////////
-MemoryManager::AccViewTable_t MemoryManager::AccViewTable;
-MemoryManager::LRU_t MemoryManager::LRU;
-  
-////////////////////////////////////////////////////////
-// Footprint tracking
-////////////////////////////////////////////////////////
-uint64_t  MemoryManager::DeviceBytes;
-uint64_t  MemoryManager::DeviceLRUBytes;
-uint64_t  MemoryManager::DeviceMaxBytes = 1024*1024*128;
-uint64_t  MemoryManager::HostToDeviceBytes;
-uint64_t  MemoryManager::DeviceToHostBytes;
-uint64_t  MemoryManager::HostToDeviceXfer;
-uint64_t  MemoryManager::DeviceToHostXfer;
-
-////////////////////////////////////
-// Priority ordering for unlocked entries
-//  Empty
-//  CpuDirty 
-//  Consistent
-//  AccDirty
-////////////////////////////////////
-#define Empty         (0x0)  /*Entry unoccupied  */
-#define CpuDirty      (0x1)  /*CPU copy is golden, Acc buffer MAY not be allocated*/
-#define Consistent    (0x2)  /*ACC copy AND CPU copy are valid */
-#define AccDirty      (0x4)  /*ACC copy is golden */
-#define EvictNext     (0x8)  /*Priority for eviction*/
-
-/////////////////////////////////////////////////
-// Mechanics of data table maintenance
-/////////////////////////////////////////////////
-int   MemoryManager::EntryPresent(uint64_t CpuPtr)
-{
-  if(AccViewTable.empty()) return 0;
-
-  auto count = AccViewTable.count(CpuPtr);  assert((count==0)||(count==1));
-  return count;
-}
-void  MemoryManager::EntryCreate(uint64_t CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint)
-{
-  assert(!EntryPresent(CpuPtr));
-  AcceleratorViewEntry AccCache;
-  AccCache.CpuPtr = CpuPtr;
-  AccCache.AccPtr = (uint64_t)NULL;
-  AccCache.bytes  = bytes;
-  AccCache.state  = CpuDirty;
-  AccCache.LRU_valid=0;
-  AccCache.transient=0;
-  AccCache.accLock=0;
-  AccCache.cpuLock=0;
-  AccViewTable[CpuPtr] = AccCache;
-}
-MemoryManager::AccViewTableIterator MemoryManager::EntryLookup(uint64_t CpuPtr)
-{
-  assert(EntryPresent(CpuPtr));
-  auto AccCacheIterator = AccViewTable.find(CpuPtr);
-  assert(AccCacheIterator!=AccViewTable.end());
-  return AccCacheIterator;
-}
-void MemoryManager::EntryErase(uint64_t CpuPtr)
-{
-  auto AccCache = EntryLookup(CpuPtr);
-  AccViewTable.erase(CpuPtr);
-}
-void  MemoryManager::LRUinsert(AcceleratorViewEntry &AccCache)
-{
-  assert(AccCache.LRU_valid==0);
-  if (AccCache.transient) { 
-    LRU.push_back(AccCache.CpuPtr);
-    AccCache.LRU_entry = --LRU.end();
-  } else {
-    LRU.push_front(AccCache.CpuPtr);
-    AccCache.LRU_entry = LRU.begin();
-  }
-  AccCache.LRU_valid = 1;
-  DeviceLRUBytes+=AccCache.bytes;
-}
-void  MemoryManager::LRUremove(AcceleratorViewEntry &AccCache)
-{
-  assert(AccCache.LRU_valid==1);
-  LRU.erase(AccCache.LRU_entry);
-  AccCache.LRU_valid = 0;
-  DeviceLRUBytes-=AccCache.bytes;
-}
-/////////////////////////////////////////////////
-// Accelerator cache motion & consistency logic
-/////////////////////////////////////////////////
-void MemoryManager::AccDiscard(AcceleratorViewEntry &AccCache)
-{
-  ///////////////////////////////////////////////////////////
-  // Remove from Accelerator, remove entry, without flush
-  // Cannot be locked. If allocated Must be in LRU pool.
-  ///////////////////////////////////////////////////////////
-  assert(AccCache.state!=Empty);
-  
-  //  dprintf("MemoryManager: Discard(%llx) %llx\n",(uint64_t)AccCache.CpuPtr,(uint64_t)AccCache.AccPtr); 
-  assert(AccCache.accLock==0);
-  assert(AccCache.cpuLock==0);
-  assert(AccCache.CpuPtr!=(uint64_t)NULL);
-  if(AccCache.AccPtr) {
-    AcceleratorFree((void *)AccCache.AccPtr,AccCache.bytes);
-    DeviceBytes   -=AccCache.bytes;
-    LRUremove(AccCache);
-    //    dprintf("MemoryManager: Free(%llx) LRU %lld Total %lld\n",(uint64_t)AccCache.AccPtr,DeviceLRUBytes,DeviceBytes);  
-  }
-  uint64_t CpuPtr = AccCache.CpuPtr;
-  EntryErase(CpuPtr);
-}
-
-void MemoryManager::Evict(AcceleratorViewEntry &AccCache)
-{
-  ///////////////////////////////////////////////////////////////////////////
-  // Make CPU consistent, remove from Accelerator, remove entry
-  // Cannot be locked. If allocated must be in LRU pool.
-  ///////////////////////////////////////////////////////////////////////////
-  assert(AccCache.state!=Empty);
-  
-  //  dprintf("MemoryManager: Evict(%llx) %llx\n",(uint64_t)AccCache.CpuPtr,(uint64_t)AccCache.AccPtr); 
-  assert(AccCache.accLock==0);
-  assert(AccCache.cpuLock==0);
-  if(AccCache.state==AccDirty) {
-    Flush(AccCache);
-  }
-  assert(AccCache.CpuPtr!=(uint64_t)NULL);
-  if(AccCache.AccPtr) {
-    AcceleratorFree((void *)AccCache.AccPtr,AccCache.bytes);
-    DeviceBytes   -=AccCache.bytes;
-    LRUremove(AccCache);
-    //    dprintf("MemoryManager: Free(%llx) footprint now %lld \n",(uint64_t)AccCache.AccPtr,DeviceBytes);  
-  }
-  uint64_t CpuPtr = AccCache.CpuPtr;
-  EntryErase(CpuPtr);
-}
-void MemoryManager::Flush(AcceleratorViewEntry &AccCache)
-{
-  assert(AccCache.state==AccDirty);
-  assert(AccCache.cpuLock==0);
-  assert(AccCache.accLock==0);
-  assert(AccCache.AccPtr!=(uint64_t)NULL);
-  assert(AccCache.CpuPtr!=(uint64_t)NULL);
-  acceleratorCopyFromDevice((void *)AccCache.AccPtr,(void *)AccCache.CpuPtr,AccCache.bytes);
-  //  dprintf("MemoryManager: Flush  %llx -> %llx\n",(uint64_t)AccCache.AccPtr,(uint64_t)AccCache.CpuPtr); fflush(stdout);
-  DeviceToHostBytes+=AccCache.bytes;
-  DeviceToHostXfer++;
-  AccCache.state=Consistent;
-}
-void MemoryManager::Clone(AcceleratorViewEntry &AccCache)
-{
-  assert(AccCache.state==CpuDirty);
-  assert(AccCache.cpuLock==0);
-  assert(AccCache.accLock==0);
-  assert(AccCache.CpuPtr!=(uint64_t)NULL);
-  if(AccCache.AccPtr==(uint64_t)NULL){
-    AccCache.AccPtr=(uint64_t)AcceleratorAllocate(AccCache.bytes);
-    DeviceBytes+=AccCache.bytes;
-  }
-  //  dprintf("MemoryManager: Clone %llx <- %llx\n",(uint64_t)AccCache.AccPtr,(uint64_t)AccCache.CpuPtr); fflush(stdout);
-  acceleratorCopyToDevice((void *)AccCache.CpuPtr,(void *)AccCache.AccPtr,AccCache.bytes);
-  HostToDeviceBytes+=AccCache.bytes;
-  HostToDeviceXfer++;
-  AccCache.state=Consistent;
-}
-
-void MemoryManager::CpuDiscard(AcceleratorViewEntry &AccCache)
-{
-  assert(AccCache.state!=Empty);
-  assert(AccCache.cpuLock==0);
-  assert(AccCache.accLock==0);
-  assert(AccCache.CpuPtr!=(uint64_t)NULL);
-  if(AccCache.AccPtr==(uint64_t)NULL){
-    AccCache.AccPtr=(uint64_t)AcceleratorAllocate(AccCache.bytes);
-    DeviceBytes+=AccCache.bytes;
-  }
-  AccCache.state=AccDirty;
-}
-
-/////////////////////////////////////////////////////////////////////////////////
-// View management
-/////////////////////////////////////////////////////////////////////////////////
-void MemoryManager::ViewClose(void* Ptr,ViewMode mode)
-{
-  if( (mode==AcceleratorRead)||(mode==AcceleratorWrite)||(mode==AcceleratorWriteDiscard) ){
-    AcceleratorViewClose((uint64_t)Ptr);
-  } else if( (mode==CpuRead)||(mode==CpuWrite)){
-    CpuViewClose((uint64_t)Ptr);
-  } else { 
-    assert(0);
-  }
-}
-void *MemoryManager::ViewOpen(void* _CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint)
-{
-  uint64_t CpuPtr = (uint64_t)_CpuPtr;
-  if( (mode==AcceleratorRead)||(mode==AcceleratorWrite)||(mode==AcceleratorWriteDiscard) ){
-    return (void *) AcceleratorViewOpen(CpuPtr,bytes,mode,hint);
-  } else if( (mode==CpuRead)||(mode==CpuWrite)){
-    return (void *)CpuViewOpen(CpuPtr,bytes,mode,hint);
-  } else { 
-    assert(0);
-    return NULL;
-  }
-}
-void  MemoryManager::EvictVictims(uint64_t bytes)
-{
-  while(bytes+DeviceLRUBytes > DeviceMaxBytes){
-    if ( DeviceLRUBytes > 0){
-      assert(LRU.size()>0);
-      uint64_t victim = LRU.back();
-      auto AccCacheIterator = EntryLookup(victim);
-      auto & AccCache = AccCacheIterator->second;
-      Evict(AccCache);
-    }
-  }
-}
-uint64_t MemoryManager::AcceleratorViewOpen(uint64_t CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint)
-{
-  ////////////////////////////////////////////////////////////////////////////
-  // Find if present, otherwise get or force an empty
-  ////////////////////////////////////////////////////////////////////////////
-  if ( EntryPresent(CpuPtr)==0 ){
-    EvictVictims(bytes);
-    EntryCreate(CpuPtr,bytes,mode,hint);
-  }
-
-  auto AccCacheIterator = EntryLookup(CpuPtr);
-  auto & AccCache = AccCacheIterator->second;
-  
-  assert((mode==AcceleratorRead)||(mode==AcceleratorWrite)||(mode==AcceleratorWriteDiscard));
-
-  assert(AccCache.cpuLock==0);  // Programming error
-
-  if(AccCache.state!=Empty) {
-    assert(AccCache.CpuPtr == CpuPtr);
-    assert(AccCache.bytes  ==bytes);
-  }
-/*
- *  State transitions and actions
- *
- *  Action  State   StateNext         Flush    Clone
- *
- *  AccRead  Empty   Consistent        -        Y
- *  AccWrite Empty   AccDirty          -        Y
- *  AccRead  CpuDirty Consistent       -        Y
- *  AccWrite CpuDirty AccDirty         -        Y
- *  AccRead  Consistent Consistent     -        - 
- *  AccWrite Consistent AccDirty       -        - 
- *  AccRead  AccDirty   AccDirty       -        - 
- *  AccWrite AccDirty   AccDirty       -        - 
- */
-  if(AccCache.state==Empty) {
-    assert(AccCache.LRU_valid==0);
-    AccCache.CpuPtr = CpuPtr;
-    AccCache.AccPtr = (uint64_t)NULL;
-    AccCache.bytes  = bytes;
-    AccCache.state  = CpuDirty;   // Cpu starts primary
-    if(mode==AcceleratorWriteDiscard){
-      CpuDiscard(AccCache);
-      AccCache.state  = AccDirty;   // Empty + AcceleratorWrite=> AccDirty
-    } else if(mode==AcceleratorWrite){
-      Clone(AccCache);
-      AccCache.state  = AccDirty;   // Empty + AcceleratorWrite=> AccDirty
-    } else {
-      Clone(AccCache);
-      AccCache.state  = Consistent; // Empty + AccRead => Consistent
-    }
-    AccCache.accLock= 1;
-  } else if(AccCache.state==CpuDirty ){
-    if(mode==AcceleratorWriteDiscard) {
-      CpuDiscard(AccCache);
-      AccCache.state  = AccDirty;   // CpuDirty + AcceleratorWrite=> AccDirty
-    } else if(mode==AcceleratorWrite) {
-      Clone(AccCache);
-      AccCache.state  = AccDirty;   // CpuDirty + AcceleratorWrite=> AccDirty
-    } else {
-      Clone(AccCache);
-      AccCache.state  = Consistent; // CpuDirty + AccRead => Consistent
-    }
-    AccCache.accLock++;
-    //    printf("Copied CpuDirty entry into device accLock %d\n",AccCache.accLock);
-  } else if(AccCache.state==Consistent) {
-    if((mode==AcceleratorWrite)||(mode==AcceleratorWriteDiscard))
-      AccCache.state  = AccDirty;   // Consistent + AcceleratorWrite=> AccDirty
-    else
-      AccCache.state  = Consistent; // Consistent + AccRead => Consistent
-    AccCache.accLock++;
-    //    printf("Consistent entry into device accLock %d\n",AccCache.accLock);
-  } else if(AccCache.state==AccDirty) {
-    if((mode==AcceleratorWrite)||(mode==AcceleratorWriteDiscard))
-      AccCache.state  = AccDirty; // AccDirty + AcceleratorWrite=> AccDirty
-    else
-      AccCache.state  = AccDirty; // AccDirty + AccRead => AccDirty
-    AccCache.accLock++;
-    //    printf("AccDirty entry into device accLock %d\n",AccCache.accLock);
-  } else {
-    assert(0);
-  }
-
-  // If view is opened on device remove from LRU
-  if(AccCache.LRU_valid==1){
-    // must possibly remove from LRU as now locked on GPU
-    LRUremove(AccCache);
-  }
-
-  int transient =hint;
-  AccCache.transient= transient? EvictNext : 0;
-
-  return AccCache.AccPtr;
-}
-////////////////////////////////////
-// look up & decrement lock count
-////////////////////////////////////
-void MemoryManager::AcceleratorViewClose(uint64_t CpuPtr)
-{
-  auto AccCacheIterator = EntryLookup(CpuPtr);
-  auto & AccCache = AccCacheIterator->second;
-
-  assert(AccCache.cpuLock==0);
-  assert(AccCache.accLock>0);
-
-  AccCache.accLock--;
-
-  // Move to LRU queue if not locked and close on device
-  if(AccCache.accLock==0) {
-    LRUinsert(AccCache);
-  }
-}
-void MemoryManager::CpuViewClose(uint64_t CpuPtr)
-{
-  auto AccCacheIterator = EntryLookup(CpuPtr);
-  auto & AccCache = AccCacheIterator->second;
-
-  assert(AccCache.cpuLock>0);
-  assert(AccCache.accLock==0);
-
-  AccCache.cpuLock--;
-}
-/*
- *  Action  State   StateNext         Flush    Clone
- *
- *  CpuRead  Empty   CpuDirty          -        -
- *  CpuWrite Empty   CpuDirty          -        -
- *  CpuRead  CpuDirty CpuDirty         -        -
- *  CpuWrite CpuDirty CpuDirty         -        - 
- *  CpuRead  Consistent Consistent     -        - 
- *  CpuWrite Consistent CpuDirty       -        - 
- *  CpuRead  AccDirty   Consistent     Y        -
- *  CpuWrite AccDirty   CpuDirty       Y        -
- */
-uint64_t MemoryManager::CpuViewOpen(uint64_t CpuPtr,size_t bytes,ViewMode mode,ViewAdvise transient)
-{
-  ////////////////////////////////////////////////////////////////////////////
-  // Find if present, otherwise get or force an empty
-  ////////////////////////////////////////////////////////////////////////////
-  if ( EntryPresent(CpuPtr)==0 ){
-    EvictVictims(bytes);
-    EntryCreate(CpuPtr,bytes,mode,transient);
-  }
-
-  auto AccCacheIterator = EntryLookup(CpuPtr);
-  auto & AccCache = AccCacheIterator->second;
-  
-  assert((mode==CpuRead)||(mode==CpuWrite));
-  assert(AccCache.accLock==0);  // Programming error
-
-  if(AccCache.state!=Empty) {
-    assert(AccCache.CpuPtr == CpuPtr);
-    assert(AccCache.bytes==bytes);
-  }
-
-  if(AccCache.state==Empty) {
-    AccCache.CpuPtr = CpuPtr;
-    AccCache.AccPtr = (uint64_t)NULL;
-    AccCache.bytes  = bytes;
-    AccCache.state  = CpuDirty; // Empty + CpuRead/CpuWrite => CpuDirty
-    AccCache.accLock= 0;
-    AccCache.cpuLock= 1;
-  } else if(AccCache.state==CpuDirty ){
-    // AccPtr dont care, deferred allocate
-    AccCache.state = CpuDirty; // CpuDirty +CpuRead/CpuWrite => CpuDirty
-    AccCache.cpuLock++;
-  } else if(AccCache.state==Consistent) {
-    assert(AccCache.AccPtr != (uint64_t)NULL);
-    if(mode==CpuWrite)
-      AccCache.state = CpuDirty;   // Consistent +CpuWrite => CpuDirty
-    else 
-      AccCache.state = Consistent; // Consistent +CpuRead  => Consistent
-    AccCache.cpuLock++;
-  } else if(AccCache.state==AccDirty) {
-    assert(AccCache.AccPtr != (uint64_t)NULL);
-    Flush(AccCache);
-    if(mode==CpuWrite) AccCache.state = CpuDirty;   // AccDirty +CpuWrite => CpuDirty, Flush
-    else            AccCache.state = Consistent; // AccDirty +CpuRead  => Consistent, Flush
-    AccCache.cpuLock++;
-  } else {
-    assert(0); // should be unreachable
-  }
-
-  AccCache.transient= transient? EvictNext : 0;
-
-  return AccCache.CpuPtr;
-}
-void  MemoryManager::NotifyDeletion(void *_ptr)
-{
-  // Look up in ViewCache
-  uint64_t ptr = (uint64_t)_ptr;
-  if(EntryPresent(ptr)) {
-    auto e = EntryLookup(ptr);
-    AccDiscard(e->second);
-  }
-}
-void  MemoryManager::Print(void)
-{
-  std::cout << GridLogDebug << "--------------------------------------------" << std::endl;
-  std::cout << GridLogDebug << "Memory Manager                             " << std::endl;
-  std::cout << GridLogDebug << "--------------------------------------------" << std::endl;
-  std::cout << GridLogDebug << DeviceBytes   << " bytes allocated on device " << std::endl;
-  std::cout << GridLogDebug << DeviceLRUBytes<< " bytes evictable on device " << std::endl;
-  std::cout << GridLogDebug << DeviceMaxBytes<< " bytes max on device       " << std::endl;
-  std::cout << GridLogDebug << HostToDeviceXfer << " transfers        to   device " << std::endl;
-  std::cout << GridLogDebug << DeviceToHostXfer << " transfers        from device " << std::endl;
-  std::cout << GridLogDebug << HostToDeviceBytes<< " bytes transfered to   device " << std::endl;
-  std::cout << GridLogDebug << DeviceToHostBytes<< " bytes transfered from device " << std::endl;
-  std::cout << GridLogDebug << AccViewTable.size()<< " vectors " << LRU.size()<<" evictable"<< std::endl;
-  std::cout << GridLogDebug << "--------------------------------------------" << std::endl;
-  std::cout << GridLogDebug << "CpuAddr\t\tAccAddr\t\tState\t\tcpuLock\taccLock\tLRU_valid "<<std::endl;
-  std::cout << GridLogDebug << "--------------------------------------------" << std::endl;
-  for(auto it=AccViewTable.begin();it!=AccViewTable.end();it++){
-    auto &AccCache = it->second;
-    
-    std::string str;
-    if ( AccCache.state==Empty    ) str = std::string("Empty");
-    if ( AccCache.state==CpuDirty ) str = std::string("CpuDirty");
-    if ( AccCache.state==AccDirty ) str = std::string("AccDirty");
-    if ( AccCache.state==Consistent)str = std::string("Consistent");
-
-    std::cout << GridLogDebug << "0x"<<std::hex<<AccCache.CpuPtr<<std::dec
-	      << "\t0x"<<std::hex<<AccCache.AccPtr<<std::dec<<"\t" <<str
-	      << "\t" << AccCache.cpuLock
-	      << "\t" << AccCache.accLock
-	      << "\t" << AccCache.LRU_valid<<std::endl;
-  }
-  std::cout << GridLogDebug << "--------------------------------------------" << std::endl;
-
-};
-int   MemoryManager::isOpen   (void* _CpuPtr) 
-{ 
-  uint64_t CpuPtr = (uint64_t)_CpuPtr;
-  if ( EntryPresent(CpuPtr) ){
-    auto AccCacheIterator = EntryLookup(CpuPtr);
-    auto & AccCache = AccCacheIterator->second;
-    return AccCache.cpuLock+AccCache.accLock;
-  } else { 
-    return 0;
-  }
-}
-
-NAMESPACE_END(Grid);
-
-#endif

Grid/allocator/MemoryManagerShared.cc

@@ -1,24 +0,0 @@
-#include <Grid/GridCore.h>
-#ifdef GRID_UVM
-
-#warning "Grid is assuming unified virtual memory address space"
-NAMESPACE_BEGIN(Grid);
-/////////////////////////////////////////////////////////////////////////////////
-// View management is 1:1 address space mapping
-/////////////////////////////////////////////////////////////////////////////////
-uint64_t  MemoryManager::DeviceBytes;
-uint64_t  MemoryManager::DeviceLRUBytes;
-uint64_t  MemoryManager::DeviceMaxBytes = 1024*1024*128;
-uint64_t  MemoryManager::HostToDeviceBytes;
-uint64_t  MemoryManager::DeviceToHostBytes;
-uint64_t  MemoryManager::HostToDeviceXfer;
-uint64_t  MemoryManager::DeviceToHostXfer;
-
-void  MemoryManager::ViewClose(void* AccPtr,ViewMode mode){};
-void *MemoryManager::ViewOpen(void* CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint){ return CpuPtr; };
-int   MemoryManager::isOpen   (void* CpuPtr) { return 0;}
-void  MemoryManager::Print(void){};
-void  MemoryManager::NotifyDeletion(void *ptr){};
-
-NAMESPACE_END(Grid);
-#endif

Grid/allocator/MemoryStats.cc

@@ -1,67 +0,0 @@
-#include <Grid/GridCore.h>
-#include <fcntl.h>
-
-NAMESPACE_BEGIN(Grid);
-
-MemoryStats *MemoryProfiler::stats = nullptr;
-bool         MemoryProfiler::debug = false;
-
-void check_huge_pages(void *Buf,uint64_t BYTES)
-{
-#ifdef __linux__
-  int fd = open("/proc/self/pagemap", O_RDONLY);
-  assert(fd >= 0);
-  const int page_size = 4096;
-  uint64_t virt_pfn = (uint64_t)Buf / page_size;
-  off_t offset = sizeof(uint64_t) * virt_pfn;
-  uint64_t npages = (BYTES + page_size-1) / page_size;
-  uint64_t pagedata[npages];
-  uint64_t ret = lseek(fd, offset, SEEK_SET);
-  assert(ret == offset);
-  ret = ::read(fd, pagedata, sizeof(uint64_t)*npages);
-  assert(ret == sizeof(uint64_t) * npages);
-  int nhugepages = npages / 512;
-  int n4ktotal, nnothuge;
-  n4ktotal = 0;
-  nnothuge = 0;
-  for (int i = 0; i < nhugepages; ++i) {
-    uint64_t baseaddr = (pagedata[i*512] & 0x7fffffffffffffULL) * page_size;
-    for (int j = 0; j < 512; ++j) {
-      uint64_t pageaddr = (pagedata[i*512+j] & 0x7fffffffffffffULL) * page_size;
-      ++n4ktotal;
-      if (pageaddr != baseaddr + j * page_size)
-	++nnothuge;
-    }
-  }
-  int rank = CartesianCommunicator::RankWorld();
-  printf("rank %d Allocated %d 4k pages, %d not in huge pages\n", rank, n4ktotal, nnothuge);
-#endif
-}
-
-std::string sizeString(const size_t bytes)
-{
-  constexpr unsigned int bufSize = 256;
-  const char             *suffixes[7] = {"", "K", "M", "G", "T", "P", "E"};
-  char                   buf[256];
-  size_t                 s     = 0;
-  double                 count = bytes;
-  
-  while (count >= 1024 && s < 7)
-    {
-      s++;
-      count /= 1024;
-    }
-  if (count - floor(count) == 0.0)
-    {
-      snprintf(buf, bufSize, "%d %sB", (int)count, suffixes[s]);
-    }
-  else
-    {
-      snprintf(buf, bufSize, "%.1f %sB", count, suffixes[s]);
-    }
-  
-  return std::string(buf);
-}
-
-NAMESPACE_END(Grid);
-

Grid/allocator/MemoryStats.h

@@ -1,95 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/MemoryStats.h
-
-    Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#pragma once
-
-
-NAMESPACE_BEGIN(Grid);
-
-std::string sizeString(size_t bytes);
-
-struct MemoryStats
-{
-  size_t totalAllocated{0}, maxAllocated{0}, 
-    currentlyAllocated{0}, totalFreed{0};
-};
-    
-class MemoryProfiler
-{
-public:
-  static MemoryStats *stats;
-  static bool        debug;
-};
-
-#define memString(bytes) std::to_string(bytes) + " (" + sizeString(bytes) + ")"
-#define profilerDebugPrint						\
-  if (MemoryProfiler::stats)						\
-    {									\
-      auto s = MemoryProfiler::stats;					\
-      std::cout << GridLogDebug << "[Memory debug] Stats " << MemoryProfiler::stats << std::endl; \
-      std::cout << GridLogDebug << "[Memory debug] total  : " << memString(s->totalAllocated) \
-		<< std::endl;						\
-      std::cout << GridLogDebug << "[Memory debug] max    : " << memString(s->maxAllocated) \
-		<< std::endl;						\
-      std::cout << GridLogDebug << "[Memory debug] current: " << memString(s->currentlyAllocated) \
-		<< std::endl;						\
-      std::cout << GridLogDebug << "[Memory debug] freed  : " << memString(s->totalFreed) \
-		<< std::endl;						\
-    }
-
-#define profilerAllocate(bytes)						\
-  if (MemoryProfiler::stats)						\
-    {									\
-      auto s = MemoryProfiler::stats;					\
-      s->totalAllocated     += (bytes);					\
-      s->currentlyAllocated += (bytes);					\
-      s->maxAllocated        = std::max(s->maxAllocated, s->currentlyAllocated); \
-    }									\
-  if (MemoryProfiler::debug)						\
-    {									\
-      std::cout << GridLogDebug << "[Memory debug] allocating " << memString(bytes) << std::endl; \
-      profilerDebugPrint;						\
-    }
-
-#define profilerFree(bytes)						\
-  if (MemoryProfiler::stats)						\
-    {									\
-      auto s = MemoryProfiler::stats;					\
-      s->totalFreed         += (bytes);					\
-      s->currentlyAllocated -= (bytes);					\
-    }									\
-  if (MemoryProfiler::debug)						\
-    {									\
-      std::cout << GridLogDebug << "[Memory debug] freeing " << memString(bytes) << std::endl; \
-      profilerDebugPrint;						\
-    }
-
-void check_huge_pages(void *Buf,uint64_t BYTES);
-
-NAMESPACE_END(Grid);
-

Grid/cartesian/Cartesian.h

@@ -1,35 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/Cartesian.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_CARTESIAN_H
-#define GRID_CARTESIAN_H
-
-#include <Grid/cartesian/Cartesian_base.h>
-#include <Grid/cartesian/Cartesian_full.h>
-#include <Grid/cartesian/Cartesian_red_black.h> 
-
-#endif

Grid/cartesian/Cartesian_base.h

@@ -1,291 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/cartesian/Cartesian_base.h
-
-    Copyright (C) 2015
-
-    Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-    Author: paboyle <paboyle@ph.ed.ac.uk>
-    Author: Guido Cossu <guido.cossu@ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_CARTESIAN_BASE_H
-#define GRID_CARTESIAN_BASE_H
-
-NAMESPACE_BEGIN(Grid);
-
-//////////////////////////////////////////////////////////////////////
-// Commicator provides information on the processor grid
-//////////////////////////////////////////////////////////////////////
-//    unsigned long _ndimension;
-//    Coordinate _processors; // processor grid
-//    int              _processor;  // linear processor rank
-//    Coordinate _processor_coor;  // linear processor rank
-//////////////////////////////////////////////////////////////////////
-class GridBase : public CartesianCommunicator , public GridThread {
-
-public:
-  int dummy;
-  // Give Lattice access
-  template<class object> friend class Lattice;
-
-  GridBase(const Coordinate & processor_grid) : CartesianCommunicator(processor_grid) { LocallyPeriodic=0;}; 
-
-  GridBase(const Coordinate & processor_grid,
-	   const CartesianCommunicator &parent,
-	   int &split_rank) 
-    : CartesianCommunicator(processor_grid,parent,split_rank) {LocallyPeriodic=0;};
-
-  GridBase(const Coordinate & processor_grid,
-	   const CartesianCommunicator &parent) 
-    : CartesianCommunicator(processor_grid,parent,dummy) {LocallyPeriodic=0;};
-
-  virtual ~GridBase() = default;
-
-  // Physics Grid information.
-  Coordinate _simd_layout;// Which dimensions get relayed out over simd lanes.
-  Coordinate _fdimensions;// (full) Global dimensions of array prior to cb removal
-  Coordinate _gdimensions;// Global dimensions of array after cb removal
-  Coordinate _ldimensions;// local dimensions of array with processor images removed
-  Coordinate _rdimensions;// Reduced local dimensions with simd lane images and processor images removed 
-  Coordinate _ostride;    // Outer stride for each dimension
-  Coordinate _istride;    // Inner stride i.e. within simd lane
-  int _osites;                  // _isites*_osites = product(dimensions).
-  int _isites;
-  int _fsites;                  // _isites*_osites = product(dimensions).
-  int _gsites;
-  Coordinate _slice_block;// subslice information
-  Coordinate _slice_stride;
-  Coordinate _slice_nblock;
-
-  Coordinate _lstart;     // local start of array in gcoors _processor_coor[d]*_ldimensions[d]
-  Coordinate _lend  ;     // local end of array in gcoors   _processor_coor[d]*_ldimensions[d]+_ldimensions_[d]-1
-
-  bool _isCheckerBoarded; 
-  int        LocallyPeriodic;
-  Coordinate _checker_dim_mask;
-
-public:
-
-  ////////////////////////////////////////////////////////////////
-  // Checkerboarding interface is virtual and overridden by 
-  // GridCartesian / GridRedBlackCartesian
-  ////////////////////////////////////////////////////////////////
-  virtual int CheckerBoarded(int dim)=0;
-  virtual int CheckerBoard(const Coordinate &site)=0;
-  virtual int CheckerBoardDestination(int source_cb,int shift,int dim)=0;
-  virtual int CheckerBoardShift(int source_cb,int dim,int shift,int osite)=0;
-  virtual int CheckerBoardShiftForCB(int source_cb,int dim,int shift,int cb)=0;
-  virtual int CheckerBoardFromOindex (int Oindex)=0;
-  virtual int CheckerBoardFromOindexTable (int Oindex)=0;
-
-  //////////////////////////////////////////////////////////////////////////////////////////////
-  // Local layout calculations
-  //////////////////////////////////////////////////////////////////////////////////////////////
-  // These routines are key. Subdivide the linearised cartesian index into
-  //      "inner" index identifying which simd lane of object<vFcomplex> is associated with coord
-  //      "outer" index identifying which element of _odata in class "Lattice" is associated with coord.
-  //
-  // Compared to, say, Blitz++ we simply need to store BOTH an inner stride and an outer
-  // stride per dimension. The cost of evaluating the indexing information is doubled for an n-dimensional
-  // coordinate. Note, however, for data parallel operations the "inner" indexing cost is not paid and all
-  // lanes are operated upon simultaneously.
-  
-  virtual int oIndex(Coordinate &coor)
-  {
-    int idx=0;
-    // Works with either global or local coordinates
-    for(int d=0;d<_ndimension;d++) idx+=_ostride[d]*(coor[d]%_rdimensions[d]);
-    return idx;
-  }
-  virtual int iIndex(Coordinate &lcoor)
-  {
-    int idx=0;
-    for(int d=0;d<_ndimension;d++) idx+=_istride[d]*(lcoor[d]/_rdimensions[d]);
-    return idx;
-  }
-  inline int oIndexReduced(Coordinate &ocoor)
-  {
-    int idx=0; 
-    // ocoor is already reduced so can eliminate the modulo operation
-    // for fast indexing and inline the routine
-    for(int d=0;d<_ndimension;d++) idx+=_ostride[d]*ocoor[d];
-    return idx;
-  }
-  inline void oCoorFromOindex (Coordinate& coor,int Oindex){
-    Lexicographic::CoorFromIndex(coor,Oindex,_rdimensions);
-  }
-
-  inline void InOutCoorToLocalCoor (Coordinate &ocoor, Coordinate &icoor, Coordinate &lcoor) {
-    lcoor.resize(_ndimension);
-    for (int d = 0; d < _ndimension; d++)
-      lcoor[d] = ocoor[d] + _rdimensions[d] * icoor[d];
-  }
-
-  //////////////////////////////////////////////////////////
-  // SIMD lane addressing
-  //////////////////////////////////////////////////////////
-  inline void iCoorFromIindex(Coordinate &coor,int lane)
-  {
-    Lexicographic::CoorFromIndex(coor,lane,_simd_layout);
-  }
-
-  inline int PermuteDim(int dimension){
-    return _simd_layout[dimension]>1;
-  }
-  inline int PermuteType(int dimension){
-    int permute_type=0;
-    //
-    // Best way to encode this would be to present a mask 
-    // for which simd dimensions are rotated, and the rotation
-    // size. If there is only one simd dimension rotated, this is just 
-    // a permute. 
-    //
-    // Cases: PermuteType == 1,2,4,8
-    // Distance should be either 0,1,2..
-    //
-    if ( _simd_layout[dimension] > 2 ) { 
-      for(int d=0;d<_ndimension;d++){
-	if ( d != dimension ) assert ( (_simd_layout[d]==1)  );
-      }
-      permute_type = RotateBit; // How to specify distance; this is not just direction.
-      return permute_type;
-    }
-
-    for(int d=_ndimension-1;d>dimension;d--){
-      if (_simd_layout[d]>1 ) permute_type++;
-    }
-    return permute_type;
-  }
-  ////////////////////////////////////////////////////////////////
-  // Array sizing queries
-  ////////////////////////////////////////////////////////////////
-
-  inline int iSites(void) const { return _isites; };
-  inline int Nsimd(void)  const { return _isites; };// Synonymous with iSites
-  inline int oSites(void) const { return _osites; };
-  inline int lSites(void) const { return _isites*_osites; }; 
-  inline int gSites(void) const { return _isites*_osites*_Nprocessors; }; 
-  inline int Nd    (void) const { return _ndimension;};
-
-  inline const Coordinate LocalStarts(void)             { return _lstart;    };
-  inline const Coordinate &FullDimensions(void)         { return _fdimensions;};
-  inline const Coordinate &GlobalDimensions(void)       { return _gdimensions;};
-  inline const Coordinate &LocalDimensions(void)        { return _ldimensions;};
-  inline const Coordinate &VirtualLocalDimensions(void) { return _ldimensions;};
-
-  ////////////////////////////////////////////////////////////////
-  // Utility to print the full decomposition details 
-  ////////////////////////////////////////////////////////////////
-
-  void show_decomposition(){
-    std::cout << GridLogMessage << "\tFull Dimensions    : " << _fdimensions << std::endl;
-    std::cout << GridLogMessage << "\tSIMD layout        : " << _simd_layout << std::endl;
-    std::cout << GridLogMessage << "\tGlobal Dimensions  : " << _gdimensions << std::endl;
-    std::cout << GridLogMessage << "\tLocal Dimensions   : " << _ldimensions << std::endl;
-    std::cout << GridLogMessage << "\tReduced Dimensions : " << _rdimensions << std::endl;
-    std::cout << GridLogMessage << "\tOuter strides      : " << _ostride << std::endl;
-    std::cout << GridLogMessage << "\tInner strides      : " << _istride << std::endl;
-    std::cout << GridLogMessage << "\tiSites             : " << _isites << std::endl;
-    std::cout << GridLogMessage << "\toSites             : " << _osites << std::endl;
-    std::cout << GridLogMessage << "\tlSites             : " << lSites() << std::endl;        
-    std::cout << GridLogMessage << "\tgSites             : " << gSites() << std::endl;
-    std::cout << GridLogMessage << "\tNd                 : " << _ndimension << std::endl;             
-  } 
-
-  ////////////////////////////////////////////////////////////////
-  // Global addressing
-  ////////////////////////////////////////////////////////////////
-  void GlobalIndexToGlobalCoor(int gidx,Coordinate &gcoor){
-    assert(gidx< gSites());
-    Lexicographic::CoorFromIndex(gcoor,gidx,_gdimensions);
-  }
-  void LocalIndexToLocalCoor(int lidx,Coordinate &lcoor){
-    assert(lidx<lSites());
-    Lexicographic::CoorFromIndex(lcoor,lidx,_ldimensions);
-  }
-  void GlobalCoorToGlobalIndex(const Coordinate & gcoor,int & gidx){
-    gidx=0;
-    int mult=1;
-    for(int mu=0;mu<_ndimension;mu++) {
-      gidx+=mult*gcoor[mu];
-      mult*=_gdimensions[mu];
-    }
-  }
-  void GlobalCoorToProcessorCoorLocalCoor(Coordinate &pcoor,Coordinate &lcoor,const Coordinate &gcoor)
-  {
-    pcoor.resize(_ndimension);
-    lcoor.resize(_ndimension);
-    for(int mu=0;mu<_ndimension;mu++){
-      int _fld  = _fdimensions[mu]/_processors[mu];
-      pcoor[mu] = gcoor[mu]/_fld;
-      lcoor[mu] = gcoor[mu]%_fld;
-    }
-  }
-  void GlobalCoorToRankIndex(int &rank, int &o_idx, int &i_idx ,const Coordinate &gcoor)
-  {
-    Coordinate pcoor;
-    Coordinate lcoor;
-    GlobalCoorToProcessorCoorLocalCoor(pcoor,lcoor,gcoor);
-    rank = RankFromProcessorCoor(pcoor);
-    /*
-      Coordinate cblcoor(lcoor);
-      for(int d=0;d<cblcoor.size();d++){
-      if( this->CheckerBoarded(d) ) {
-      cblcoor[d] = lcoor[d]/2;
-      }
-      }
-    */
-    i_idx= iIndex(lcoor);
-    o_idx= oIndex(lcoor);
-  }
-
-  void RankIndexToGlobalCoor(int rank, int o_idx, int i_idx , Coordinate &gcoor)
-  {
-    gcoor.resize(_ndimension);
-    Coordinate coor(_ndimension);
-
-    ProcessorCoorFromRank(rank,coor);
-    for(int mu=0;mu<_ndimension;mu++) gcoor[mu] = _ldimensions[mu]*coor[mu];
-
-    iCoorFromIindex(coor,i_idx);
-    for(int mu=0;mu<_ndimension;mu++) gcoor[mu] += _rdimensions[mu]*coor[mu];
-
-    oCoorFromOindex (coor,o_idx);
-    for(int mu=0;mu<_ndimension;mu++) gcoor[mu] += coor[mu];
-      
-  }
-  void RankIndexCbToFullGlobalCoor(int rank, int o_idx, int i_idx, int cb,Coordinate &fcoor)
-  {
-    RankIndexToGlobalCoor(rank,o_idx,i_idx ,fcoor);
-    if(CheckerBoarded(0)){
-      fcoor[0] = fcoor[0]*2+cb;
-    }
-  }
-  void ProcessorCoorLocalCoorToGlobalCoor(Coordinate &Pcoor,Coordinate &Lcoor,Coordinate &gcoor)
-  {
-    gcoor.resize(_ndimension);
-    for(int mu=0;mu<_ndimension;mu++) gcoor[mu] = Pcoor[mu]*_ldimensions[mu]+Lcoor[mu];
-  }
-};
-
-NAMESPACE_END(Grid);
-#endif

Grid/cartesian/Cartesian_full.h

@@ -1,178 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/cartesian/Cartesian_full.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_CARTESIAN_FULL_H
-#define GRID_CARTESIAN_FULL_H
-
-NAMESPACE_BEGIN(Grid);
-    
-/////////////////////////////////////////////////////////////////////////////////////////
-// Grid Support.
-/////////////////////////////////////////////////////////////////////////////////////////
-
-class GridCartesian: public GridBase {
-
-public:
-  int dummy;
-  Coordinate _checker_dim_mask;
-  virtual int  CheckerBoardFromOindexTable (int Oindex) {
-    return 0;
-  }
-  virtual int  CheckerBoardFromOindex (int Oindex)
-  {
-    return 0;
-  }
-  virtual int CheckerBoarded(int dim){
-    return 0;
-  }
-  virtual int CheckerBoard(const Coordinate &site){
-    return 0;
-  }
-  virtual int CheckerBoardDestination(int cb,int shift,int dim){
-    return 0;
-  }
-  virtual int CheckerBoardShiftForCB(int source_cb,int dim,int shift, int ocb){
-    return shift;
-  }
-  virtual int CheckerBoardShift(int source_cb,int dim,int shift, int osite){
-    return shift;
-  }
-  /////////////////////////////////////////////////////////////////////////
-  // Constructor takes a parent grid and possibly subdivides communicator.
-  /////////////////////////////////////////////////////////////////////////
-  GridCartesian(const Coordinate &dimensions,
-		const Coordinate &simd_layout,
-		const Coordinate &processor_grid,
-		const GridCartesian &parent) : GridBase(processor_grid,parent,dummy)
-  {
-    Init(dimensions,simd_layout,processor_grid);
-  }
-  GridCartesian(const Coordinate &dimensions,
-		const Coordinate &simd_layout,
-		const Coordinate &processor_grid,
-		const GridCartesian &parent,int &split_rank) : GridBase(processor_grid,parent,split_rank)
-  {
-    Init(dimensions,simd_layout,processor_grid);
-  }
-  /////////////////////////////////////////////////////////////////////////
-  // Construct from comm world
-  /////////////////////////////////////////////////////////////////////////
-  GridCartesian(const Coordinate &dimensions,
-		const Coordinate &simd_layout,
-		const Coordinate &processor_grid) : GridBase(processor_grid)
-  {
-    Init(dimensions,simd_layout,processor_grid);
-  }
-
-  virtual ~GridCartesian() = default;
-
-  void Init(const Coordinate &dimensions,
-	    const Coordinate &simd_layout,
-	    const Coordinate &processor_grid)
-  {
-    ///////////////////////
-    // Grid information
-    ///////////////////////
-      _isCheckerBoarded = false;
-    _ndimension = dimensions.size();
-
-    _fdimensions.resize(_ndimension);
-    _gdimensions.resize(_ndimension);
-    _ldimensions.resize(_ndimension);
-    _rdimensions.resize(_ndimension);
-    _simd_layout.resize(_ndimension);
-    _checker_dim_mask.resize(_ndimension);;
-    _lstart.resize(_ndimension);
-    _lend.resize(_ndimension);
-
-    _ostride.resize(_ndimension);
-    _istride.resize(_ndimension);
-
-    _fsites = _gsites = _osites = _isites = 1;
-
-    for (int d = 0; d < _ndimension; d++)
-      {
-	_checker_dim_mask[d]=0;
-
-        _fdimensions[d] = dimensions[d];   // Global dimensions
-        _gdimensions[d] = _fdimensions[d]; // Global dimensions
-        _simd_layout[d] = simd_layout[d];
-        _fsites = _fsites * _fdimensions[d];
-        _gsites = _gsites * _gdimensions[d];
-
-        // Use a reduced simd grid
-        _ldimensions[d] = _gdimensions[d] / _processors[d]; //local dimensions
-        //std::cout << _ldimensions[d] << "  " << _gdimensions[d] << "  " << _processors[d] << std::endl;
-        assert(_ldimensions[d] * _processors[d] == _gdimensions[d]);
-
-        _rdimensions[d] = _ldimensions[d] / _simd_layout[d]; //overdecomposition
-        assert(_rdimensions[d] * _simd_layout[d] == _ldimensions[d]);
-
-        _lstart[d] = _processor_coor[d] * _ldimensions[d];
-        _lend[d] = _processor_coor[d] * _ldimensions[d] + _ldimensions[d] - 1;
-        _osites *= _rdimensions[d];
-        _isites *= _simd_layout[d];
-
-        // Addressing support
-        if (d == 0)
-	  {
-	    _ostride[d] = 1;
-	    _istride[d] = 1;
-	  }
-        else
-	  {
-	    _ostride[d] = _ostride[d - 1] * _rdimensions[d - 1];
-	    _istride[d] = _istride[d - 1] * _simd_layout[d - 1];
-	  }
-      }
-
-    ///////////////////////
-    // subplane information
-    ///////////////////////
-    _slice_block.resize(_ndimension);
-    _slice_stride.resize(_ndimension);
-    _slice_nblock.resize(_ndimension);
-
-    int block = 1;
-    int nblock = 1;
-    for (int d = 0; d < _ndimension; d++)
-      nblock *= _rdimensions[d];
-
-    for (int d = 0; d < _ndimension; d++)
-      {
-        nblock /= _rdimensions[d];
-        _slice_block[d] = block;
-        _slice_stride[d] = _ostride[d] * _rdimensions[d];
-        _slice_nblock[d] = nblock;
-        block = block * _rdimensions[d];
-      }
-  };
-
-};
-
-NAMESPACE_END(Grid);
-#endif

Grid/cartesian/Cartesian_red_black.h

@@ -1,305 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/cartesian/Cartesian_red_black.h
-
-    Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_CARTESIAN_RED_BLACK_H
-#define GRID_CARTESIAN_RED_BLACK_H
-
-NAMESPACE_BEGIN(Grid);
-
-static const int CbRed  =0;
-static const int CbBlack=1;
-static const int Even   =CbRed;
-static const int Odd    =CbBlack;
-
-accelerator_inline int RedBlackCheckerBoardFromOindex (int oindex, Coordinate &rdim, Coordinate &chk_dim_msk)
-{
-  int nd=rdim.size();
-  Coordinate coor(nd);
-
-  Lexicographic::CoorFromIndex(coor,oindex,rdim);
-
-  int linear=0;
-  for(int d=0;d<nd;d++){
-    if(chk_dim_msk[d])
-      linear=linear+coor[d];
-  }
-  return (linear&0x1);
-}
-
-    
-// Specialise this for red black grids storing half the data like a chess board.
-class GridRedBlackCartesian : public GridBase
-{
-public:
-  //  Coordinate _checker_dim_mask;
-  int              _checker_dim;
-  std::vector<int> _checker_board;
-
-  virtual int CheckerBoarded(int dim){
-    if( dim==_checker_dim) return 1;
-    else return 0;
-  }
-  virtual int CheckerBoard(const Coordinate &site){
-    int linear=0;
-    assert(site.size()==_ndimension);
-    for(int d=0;d<_ndimension;d++){ 
-      if(_checker_dim_mask[d])
-	linear=linear+site[d];
-    }
-    return (linear&0x1);
-  }
-
-  // Depending on the cb of site, we toggle source cb.
-  // for block #b, element #e = (b, e)
-  // we need 
-  virtual int CheckerBoardShiftForCB(int source_cb,int dim,int shift,int ocb){
-    if(dim != _checker_dim) return shift;
-
-    int fulldim =_fdimensions[dim];
-    shift = (shift+fulldim)%fulldim;
-
-    // Probably faster with table lookup;
-    // or by looping over x,y,z and multiply rather than computing checkerboard.
-	  
-    if ( (source_cb+ocb)&1 ) {
-      return (shift)/2;
-    } else {
-      return (shift+1)/2;
-    }
-  }
-  virtual int  CheckerBoardFromOindexTable (int Oindex) {
-    return _checker_board[Oindex];
-  }
-  virtual int  CheckerBoardFromOindex (int Oindex)
-  {
-    Coordinate ocoor;
-    oCoorFromOindex(ocoor,Oindex);
-    return CheckerBoard(ocoor);
-  }
-  virtual int CheckerBoardShift(int source_cb,int dim,int shift,int osite){
-
-    if(dim != _checker_dim) return shift;
-
-    int ocb=CheckerBoardFromOindex(osite);
-      
-    return CheckerBoardShiftForCB(source_cb,dim,shift,ocb);
-  }
-    
-  virtual int CheckerBoardDestination(int source_cb,int shift,int dim){
-    if ( _checker_dim_mask[dim]  ) {
-      // If _fdimensions[checker_dim] is odd, then shifting by 1 in other dims
-      // does NOT cause a parity hop.
-      int add=(dim==_checker_dim) ? 0 : _fdimensions[_checker_dim];
-      if ( (shift+add) &0x1) {
-	return 1-source_cb;
-      } else {
-	return source_cb;
-      }
-    } else {
-      return source_cb;
-
-    }
-  };
-
-  ////////////////////////////////////////////////////////////
-  // Create Redblack from original grid; require full grid pointer ?
-  ////////////////////////////////////////////////////////////
-  GridRedBlackCartesian(const GridBase *base) : GridBase(base->_processors,*base)
-  {
-    int dims = base->_ndimension;
-    Coordinate checker_dim_mask(dims,1);
-    int checker_dim = 0;
-    Init(base->_fdimensions,base->_simd_layout,base->_processors,checker_dim_mask,checker_dim);
-  };
-
-  ////////////////////////////////////////////////////////////
-  // Create redblack from original grid, with non-trivial checker dim mask
-  ////////////////////////////////////////////////////////////
-  GridRedBlackCartesian(const GridBase *base,
-			const Coordinate &checker_dim_mask,
-			int checker_dim
-			) :  GridBase(base->_processors,*base) 
-  {
-    Init(base->_fdimensions,base->_simd_layout,base->_processors,checker_dim_mask,checker_dim)  ;
-  }
-
-  virtual ~GridRedBlackCartesian() = default;
-
-  void Init(const Coordinate &dimensions,
-	    const Coordinate &simd_layout,
-	    const Coordinate &processor_grid,
-	    const Coordinate &checker_dim_mask,
-	    int checker_dim)
-  {
-
-      _isCheckerBoarded = true;
-    _checker_dim = checker_dim;
-    assert(checker_dim_mask[checker_dim] == 1);
-    _ndimension = dimensions.size();
-    assert(checker_dim_mask.size() == _ndimension);
-    assert(processor_grid.size() == _ndimension);
-    assert(simd_layout.size() == _ndimension);
-
-    _fdimensions.resize(_ndimension);
-    _gdimensions.resize(_ndimension);
-    _ldimensions.resize(_ndimension);
-    _rdimensions.resize(_ndimension);
-    _simd_layout.resize(_ndimension);
-    _lstart.resize(_ndimension);
-    _lend.resize(_ndimension);
-
-    _ostride.resize(_ndimension);
-    _istride.resize(_ndimension);
-
-    _fsites = _gsites = _osites = _isites = 1;
-
-    _checker_dim_mask = checker_dim_mask;
-
-    for (int d = 0; d < _ndimension; d++)
-      {
-        _fdimensions[d] = dimensions[d];
-        _gdimensions[d] = _fdimensions[d];
-        _fsites = _fsites * _fdimensions[d];
-        _gsites = _gsites * _gdimensions[d];
-
-        if (d == _checker_dim)
-	  {
-	    assert((_gdimensions[d] & 0x1) == 0);
-	    _gdimensions[d] = _gdimensions[d] / 2; // Remove a checkerboard
-	    _gsites /= 2;
-	  }
-        _ldimensions[d] = _gdimensions[d] / _processors[d];
-        assert(_ldimensions[d] * _processors[d] == _gdimensions[d]);
-        _lstart[d] = _processor_coor[d] * _ldimensions[d];
-        _lend[d] = _processor_coor[d] * _ldimensions[d] + _ldimensions[d] - 1;
-
-        // Use a reduced simd grid
-        _simd_layout[d] = simd_layout[d];
-        _rdimensions[d] = _ldimensions[d] / _simd_layout[d]; // this is not checking if this is integer
-        assert(_rdimensions[d] * _simd_layout[d] == _ldimensions[d]);
-        assert(_rdimensions[d] > 0);
-
-        // all elements of a simd vector must have same checkerboard.
-        // If Ls vectorised, this must still be the case; e.g. dwf rb5d
-        if (_simd_layout[d] > 1)
-	  {
-	    if (checker_dim_mask[d])
-	      {
-		assert((_rdimensions[d] & 0x1) == 0);
-	      }
-	  }
-
-        _osites *= _rdimensions[d];
-        _isites *= _simd_layout[d];
-
-        // Addressing support
-        if (d == 0)
-	  {
-	    _ostride[d] = 1;
-	    _istride[d] = 1;
-	  }
-        else
-	  {
-	    _ostride[d] = _ostride[d - 1] * _rdimensions[d - 1];
-	    _istride[d] = _istride[d - 1] * _simd_layout[d - 1];
-	  }
-      }
-
-    ////////////////////////////////////////////////////////////////////////////////////////////
-    // subplane information
-    ////////////////////////////////////////////////////////////////////////////////////////////
-    _slice_block.resize(_ndimension);
-    _slice_stride.resize(_ndimension);
-    _slice_nblock.resize(_ndimension);
-
-    int block = 1;
-    int nblock = 1;
-    for (int d = 0; d < _ndimension; d++)
-      nblock *= _rdimensions[d];
-
-    for (int d = 0; d < _ndimension; d++)
-      {
-        nblock /= _rdimensions[d];
-        _slice_block[d] = block;
-        _slice_stride[d] = _ostride[d] * _rdimensions[d];
-        _slice_nblock[d] = nblock;
-        block = block * _rdimensions[d];
-      }
-
-    ////////////////////////////////////////////////
-    // Create a checkerboard lookup table
-    ////////////////////////////////////////////////
-    int rvol = 1;
-    for (int d = 0; d < _ndimension; d++)
-      {
-        rvol = rvol * _rdimensions[d];
-      }
-    _checker_board.resize(rvol);
-    for (int osite = 0; osite < _osites; osite++)
-      {
-        _checker_board[osite] = CheckerBoardFromOindex(osite);
-      }
-  };
-
-protected:
-  virtual int oIndex(Coordinate &coor)
-  {
-    int idx = 0;
-    for (int d = 0; d < _ndimension; d++)
-      {
-        if (d == _checker_dim)
-	  {
-	    idx += _ostride[d] * ((coor[d] / 2) % _rdimensions[d]);
-	  }
-        else
-	  {
-	    idx += _ostride[d] * (coor[d] % _rdimensions[d]);
-	  }
-      }
-    return idx;
-  };
-
-  virtual int iIndex(Coordinate &lcoor)
-  {
-    int idx = 0;
-    for (int d = 0; d < _ndimension; d++)
-      {
-        if (d == _checker_dim)
-	  {
-	    idx += _istride[d] * (lcoor[d] / (2 * _rdimensions[d]));
-	  }
-        else
-	  {
-	    idx += _istride[d] * (lcoor[d] / _rdimensions[d]);
-	  }
-      }
-    return idx;
-  }
-};
-NAMESPACE_END(Grid);
-#endif

Grid/communicator/Communicator.h

@@ -1,35 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/Communicator.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_COMMUNICATOR_H
-#define GRID_COMMUNICATOR_H
-
-#include <Grid/util/Coordinate.h>
-#include <Grid/communicator/SharedMemory.h>
-#include <Grid/communicator/Communicator_base.h>
-
-#endif

Grid/communicator/Communicator_base.cc

@@ -1,77 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/communicator/Communicator_none.cc
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#include <Grid/GridCore.h>
-#include <fcntl.h>
-#include <unistd.h>
-#include <limits.h>
-#include <sys/mman.h>
-
-NAMESPACE_BEGIN(Grid);
-
-///////////////////////////////////////////////////////////////
-// Info that is setup once and indept of cartesian layout
-///////////////////////////////////////////////////////////////
-CartesianCommunicator::CommunicatorPolicy_t  
-CartesianCommunicator::CommunicatorPolicy= CartesianCommunicator::CommunicatorPolicyConcurrent;
-int CartesianCommunicator::nCommThreads = -1;
-
-/////////////////////////////////
-// Grid information queries
-/////////////////////////////////
-int                      CartesianCommunicator::Dimensions(void)        { return _ndimension; };
-int                      CartesianCommunicator::IsBoss(void)            { return _processor==0; };
-int                      CartesianCommunicator::BossRank(void)          { return 0; };
-int                      CartesianCommunicator::ThisRank(void)          { return _processor; };
-const Coordinate & CartesianCommunicator::ThisProcessorCoor(void) { return _processor_coor; };
-const Coordinate & CartesianCommunicator::ProcessorGrid(void)     { return _processors; };
-int                      CartesianCommunicator::ProcessorCount(void)    { return _Nprocessors; };
-
-////////////////////////////////////////////////////////////////////////////////
-// very VERY rarely (Log, serial RNG) we need world without a grid
-////////////////////////////////////////////////////////////////////////////////
-
-void CartesianCommunicator::GlobalSum(ComplexF &c)
-{
-  GlobalSumVector((float *)&c,2);
-}
-void CartesianCommunicator::GlobalSumVector(ComplexF *c,int N)
-{
-  GlobalSumVector((float *)c,2*N);
-}
-void CartesianCommunicator::GlobalSum(ComplexD &c)
-{
-  GlobalSumVector((double *)&c,2);
-}
-void CartesianCommunicator::GlobalSumVector(ComplexD *c,int N)
-{
-  GlobalSumVector((double *)c,2*N);
-}
-  
-NAMESPACE_END(Grid);
-
-

Grid/communicator/Communicator_base.h

@@ -1,194 +0,0 @@
-
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/communicator/Communicator_base.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_COMMUNICATOR_BASE_H
-#define GRID_COMMUNICATOR_BASE_H
-
-///////////////////////////////////
-// Processor layout information
-///////////////////////////////////
-#include <Grid/communicator/SharedMemory.h>
-
-NAMESPACE_BEGIN(Grid);
-
-class CartesianCommunicator : public SharedMemory {
-
-public:    
-
-  ////////////////////////////////////////////
-  // Policies
-  ////////////////////////////////////////////
-  enum CommunicatorPolicy_t { CommunicatorPolicyConcurrent, CommunicatorPolicySequential };
-  static CommunicatorPolicy_t CommunicatorPolicy;
-  static void SetCommunicatorPolicy(CommunicatorPolicy_t policy ) { CommunicatorPolicy = policy; }
-  static int       nCommThreads;
-
-  ////////////////////////////////////////////
-  // Communicator should know nothing of the physics grid, only processor grid.
-  ////////////////////////////////////////////
-  int              _Nprocessors;     // How many in all
-  Coordinate _processors;      // Which dimensions get relayed out over processors lanes.
-  int              _processor;       // linear processor rank
-  Coordinate _processor_coor;  // linear processor coordinate
-  unsigned long    _ndimension;
-  static Grid_MPI_Comm      communicator_world;
-  Grid_MPI_Comm             communicator;
-  std::vector<Grid_MPI_Comm> communicator_halo;
-  
-  ////////////////////////////////////////////////
-  // Must call in Grid startup
-  ////////////////////////////////////////////////
-  static void Init(int *argc, char ***argv);
-
-  ////////////////////////////////////////////////
-  // Constructors to sub-divide a parent communicator
-  // and default to comm world
-  ////////////////////////////////////////////////
-  CartesianCommunicator(const Coordinate &processors,const CartesianCommunicator &parent,int &srank);
-  CartesianCommunicator(const Coordinate &pdimensions_in);
-  virtual ~CartesianCommunicator();
-
-private:
-
-  ////////////////////////////////////////////////
-  // Private initialise from an MPI communicator
-  // Can use after an MPI_Comm_split, but hidden from user so private
-  ////////////////////////////////////////////////
-  void InitFromMPICommunicator(const Coordinate &processors, Grid_MPI_Comm communicator_base);
-
-public:
-  
-  
-  ////////////////////////////////////////////////////////////////////////////////////////
-  // Wraps MPI_Cart routines, or implements equivalent on other impls
-  ////////////////////////////////////////////////////////////////////////////////////////
-  void ShiftedRanks(int dim,int shift,int & source, int & dest);
-  int  RankFromProcessorCoor(Coordinate &coor);
-  void ProcessorCoorFromRank(int rank,Coordinate &coor);
-  
-  int                      Dimensions(void)        ;
-  int                      IsBoss(void)            ;
-  int                      BossRank(void)          ;
-  int                      ThisRank(void)          ;
-  const Coordinate & ThisProcessorCoor(void) ;
-  const Coordinate & ProcessorGrid(void)     ;
-  int                      ProcessorCount(void)    ;
-
-  ////////////////////////////////////////////////////////////////////////////////
-  // very VERY rarely (Log, serial RNG) we need world without a grid
-  ////////////////////////////////////////////////////////////////////////////////
-  static int  RankWorld(void) ;
-  static void BroadcastWorld(int root,void* data, int bytes);
-  
-  ////////////////////////////////////////////////////////////
-  // Reduction
-  ////////////////////////////////////////////////////////////
-  void GlobalSum(RealF &);
-  void GlobalSumVector(RealF *,int N);
-  void GlobalSum(RealD &);
-  void GlobalSumVector(RealD *,int N);
-  void GlobalSum(uint32_t &);
-  void GlobalSum(uint64_t &);
-  void GlobalSumVector(uint64_t*,int N);
-  void GlobalSum(ComplexF &c);
-  void GlobalSumVector(ComplexF *c,int N);
-  void GlobalSum(ComplexD &c);
-  void GlobalSumVector(ComplexD *c,int N);
-  void GlobalXOR(uint32_t &);
-  void GlobalXOR(uint64_t &);
-  
-  template<class obj> void GlobalSum(obj &o){
-    typedef typename obj::scalar_type scalar_type;
-    int words = sizeof(obj)/sizeof(scalar_type);
-    scalar_type * ptr = (scalar_type *)& o;
-    GlobalSumVector(ptr,words);
-  }
-  
-  ////////////////////////////////////////////////////////////
-  // Face exchange, buffer swap in translational invariant way
-  ////////////////////////////////////////////////////////////
-  void SendToRecvFrom(void *xmit,
-		      int xmit_to_rank,
-		      void *recv,
-		      int recv_from_rank,
-		      int bytes);
-  
-  double StencilSendToRecvFrom(void *xmit,
-			       int xmit_to_rank,
-			       void *recv,
-			       int recv_from_rank,
-			       int bytes,int dir);
-
-  double StencilSendToRecvFromBegin(std::vector<CommsRequest_t> &list,
-				    void *xmit,
-				    int xmit_to_rank,
-				    void *recv,
-				    int recv_from_rank,
-				    int bytes,int dir);
-  
-  
-  void StencilSendToRecvFromComplete(std::vector<CommsRequest_t> &waitall,int i);
-  void StencilBarrier(void);
-
-  ////////////////////////////////////////////////////////////
-  // Barrier
-  ////////////////////////////////////////////////////////////
-  void Barrier(void);
-  
-  ////////////////////////////////////////////////////////////
-  // Broadcast a buffer and composite larger
-  ////////////////////////////////////////////////////////////
-  void Broadcast(int root,void* data, int bytes);
-
-  ////////////////////////////////////////////////////////////
-  // All2All down one dimension
-  ////////////////////////////////////////////////////////////
-  template<class T> void AllToAll(int dim,std::vector<T> &in, std::vector<T> &out){
-    assert(dim>=0);
-    assert(dim<_ndimension);
-    assert(in.size()==out.size());
-    int numnode = _processors[dim];
-    uint64_t bytes=sizeof(T);
-    uint64_t words=in.size()/numnode;
-    assert(numnode * words == in.size());
-    assert(words < (1ULL<<31));
-    AllToAll(dim,(void *)&in[0],(void *)&out[0],words,bytes);
-  }
-  void AllToAll(int dim  ,void *in,void *out,uint64_t words,uint64_t bytes);
-  void AllToAll(void  *in,void *out,uint64_t words         ,uint64_t bytes);
-  
-  template<class obj> void Broadcast(int root,obj &data)
-  {
-    Broadcast(root,(void *)&data,sizeof(data));
-  }
-
-}; 
-
-NAMESPACE_END(Grid);
-
-#endif

Grid/communicator/Communicator_mpi3.cc

@@ -1,463 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid
-
-    Source file: ./lib/communicator/Communicator_mpi.cc
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#include <Grid/GridCore.h>
-#include <Grid/communicator/SharedMemory.h>
-
-NAMESPACE_BEGIN(Grid);
-
-Grid_MPI_Comm       CartesianCommunicator::communicator_world;
-
-////////////////////////////////////////////
-// First initialise of comms system
-////////////////////////////////////////////
-void CartesianCommunicator::Init(int *argc, char ***argv)
-{
-
-  int flag;
-  int provided;
-
-  MPI_Initialized(&flag); // needed to coexist with other libs apparently
-  if ( !flag ) {
-
-#ifndef GRID_COMMS_THREADS
-    nCommThreads=1;
-    // wrong results here too
-    // For now: comms-overlap leads to wrong results in Benchmark_wilson even on single node MPI runs
-    // other comms schemes are ok
-    MPI_Init_thread(argc,argv,MPI_THREAD_SERIALIZED,&provided);
-#else
-    MPI_Init_thread(argc,argv,MPI_THREAD_MULTIPLE,&provided);
-#endif
-    //If only 1 comms thread we require any threading mode other than SINGLE, but for multiple comms threads we need MULTIPLE
-    if( (nCommThreads == 1) && (provided == MPI_THREAD_SINGLE) ) {
-      assert(0);
-    }
-
-    if( (nCommThreads > 1) && (provided != MPI_THREAD_MULTIPLE) ) {
-      assert(0);
-    }
-  }
-
-  // Never clean up as done once.
-  MPI_Comm_dup (MPI_COMM_WORLD,&communicator_world);
-
-  Grid_quiesce_nodes();
-  GlobalSharedMemory::Init(communicator_world);
-  GlobalSharedMemory::SharedMemoryAllocate(
-		   GlobalSharedMemory::MAX_MPI_SHM_BYTES,
-		   GlobalSharedMemory::Hugepages);
-  Grid_unquiesce_nodes();
-}
-
-///////////////////////////////////////////////////////////////////////////
-// Use cartesian communicators now even in MPI3
-///////////////////////////////////////////////////////////////////////////
-void CartesianCommunicator::ShiftedRanks(int dim,int shift,int &source,int &dest)
-{
-  int ierr=MPI_Cart_shift(communicator,dim,shift,&source,&dest);
-  assert(ierr==0);
-}
-int CartesianCommunicator::RankFromProcessorCoor(Coordinate &coor)
-{
-  int rank;
-  int ierr=MPI_Cart_rank  (communicator, &coor[0], &rank);
-  assert(ierr==0);
-  return rank;
-}
-void  CartesianCommunicator::ProcessorCoorFromRank(int rank, Coordinate &coor)
-{
-  coor.resize(_ndimension);
-  int ierr=MPI_Cart_coords  (communicator, rank, _ndimension,&coor[0]);
-  assert(ierr==0);
-}
-
-////////////////////////////////////////////////////////////////////////////////////////////////////////
-// Initialises from communicator_world
-////////////////////////////////////////////////////////////////////////////////////////////////////////
-CartesianCommunicator::CartesianCommunicator(const Coordinate &processors)
-{
-  MPI_Comm optimal_comm;
-  ////////////////////////////////////////////////////
-  // Remap using the shared memory optimising routine
-  // The remap creates a comm which must be freed
-  ////////////////////////////////////////////////////
-  GlobalSharedMemory::OptimalCommunicator    (processors,optimal_comm);
-  InitFromMPICommunicator(processors,optimal_comm);
-  SetCommunicator(optimal_comm);
-  ///////////////////////////////////////////////////
-  // Free the temp communicator
-  ///////////////////////////////////////////////////
-  MPI_Comm_free(&optimal_comm);
-}
-
-//////////////////////////////////
-// Try to subdivide communicator
-//////////////////////////////////
-CartesianCommunicator::CartesianCommunicator(const Coordinate &processors,const CartesianCommunicator &parent,int &srank)
-{
-  _ndimension = processors.size();  assert(_ndimension>=1);
-  int parent_ndimension = parent._ndimension; assert(_ndimension >= parent._ndimension);
-  Coordinate parent_processor_coor(_ndimension,0);
-  Coordinate parent_processors    (_ndimension,1);
-
-  // Can make 5d grid from 4d etc...
-  int pad = _ndimension-parent_ndimension;
-  for(int d=0;d<parent_ndimension;d++){
-    parent_processor_coor[pad+d]=parent._processor_coor[d];
-    parent_processors    [pad+d]=parent._processors[d];
-  }
-
-  //////////////////////////////////////////////////////////////////////////////////////////////////////
-  // split the communicator
-  //////////////////////////////////////////////////////////////////////////////////////////////////////
-  //  int Nparent = parent._processors ;
-  int Nparent;
-  MPI_Comm_size(parent.communicator,&Nparent);
-
-  int childsize=1;
-  for(int d=0;d<processors.size();d++) {
-    childsize *= processors[d];
-  }
-  int Nchild = Nparent/childsize;
-  assert (childsize * Nchild == Nparent);
-
-  Coordinate ccoor(_ndimension); // coor within subcommunicator
-  Coordinate scoor(_ndimension); // coor of split within parent
-  Coordinate ssize(_ndimension); // coor of split within parent
-
-  for(int d=0;d<_ndimension;d++){
-    ccoor[d] = parent_processor_coor[d] % processors[d];
-    scoor[d] = parent_processor_coor[d] / processors[d];
-    ssize[d] = parent_processors[d]     / processors[d];
-  }
-
-  // rank within subcomm ; srank is rank of subcomm within blocks of subcomms
-  int crank;
-  // Mpi uses the reverse Lexico convention to us; so reversed routines called
-  Lexicographic::IndexFromCoorReversed(ccoor,crank,processors); // processors is the split grid dimensions
-  Lexicographic::IndexFromCoorReversed(scoor,srank,ssize);      // ssize is the number of split grids
-
-  MPI_Comm comm_split;
-  if ( Nchild > 1 ) {
-
-    ////////////////////////////////////////////////////////////////
-    // Split the communicator
-    ////////////////////////////////////////////////////////////////
-    int ierr= MPI_Comm_split(parent.communicator,srank,crank,&comm_split);
-    assert(ierr==0);
-
-  } else {
-    srank = 0;
-    int ierr = MPI_Comm_dup (parent.communicator,&comm_split);
-    assert(ierr==0);
-  }
-
-  //////////////////////////////////////////////////////////////////////////////////////////////////////
-  // Set up from the new split communicator
-  //////////////////////////////////////////////////////////////////////////////////////////////////////
-  InitFromMPICommunicator(processors,comm_split);
-
-  //////////////////////////////////////////////////////////////////////////////////////////////////////
-  // Take the right SHM buffers
-  //////////////////////////////////////////////////////////////////////////////////////////////////////
-  SetCommunicator(comm_split);
-
-  ///////////////////////////////////////////////
-  // Free the temp communicator
-  ///////////////////////////////////////////////
-  MPI_Comm_free(&comm_split);
-
-  if(0){
-    std::cout << " ndim " <<_ndimension<<" " << parent._ndimension << std::endl;
-    for(int d=0;d<processors.size();d++){
-      std::cout << d<< " " << _processor_coor[d] <<" " <<  ccoor[d]<<std::endl;
-    }
-  }
-  for(int d=0;d<processors.size();d++){
-    assert(_processor_coor[d] == ccoor[d] );
-  }
-}
-
-void CartesianCommunicator::InitFromMPICommunicator(const Coordinate &processors, MPI_Comm communicator_base)
-{
-  ////////////////////////////////////////////////////
-  // Creates communicator, and the communicator_halo
-  ////////////////////////////////////////////////////
-  _ndimension = processors.size();
-  _processor_coor.resize(_ndimension);
-
-  /////////////////////////////////
-  // Count the requested nodes
-  /////////////////////////////////
-  _Nprocessors=1;
-  _processors = processors;
-  for(int i=0;i<_ndimension;i++){
-    _Nprocessors*=_processors[i];
-  }
-
-  Coordinate periodic(_ndimension,1);
-  MPI_Cart_create(communicator_base, _ndimension,&_processors[0],&periodic[0],0,&communicator);
-  MPI_Comm_rank(communicator,&_processor);
-  MPI_Cart_coords(communicator,_processor,_ndimension,&_processor_coor[0]);
-
-  if ( 0 && (communicator_base != communicator_world) ) {
-    std::cout << "InitFromMPICommunicator Cartesian communicator created with a non-world communicator"<<std::endl;
-    std::cout << " new communicator rank "<<_processor<< " coor ["<<_ndimension<<"] ";
-    for(int d=0;d<_processors.size();d++){
-      std::cout << _processor_coor[d]<<" ";
-    }
-    std::cout << std::endl;
-  }
-
-  int Size;
-  MPI_Comm_size(communicator,&Size);
-
-  communicator_halo.resize (2*_ndimension);
-  for(int i=0;i<_ndimension*2;i++){
-    MPI_Comm_dup(communicator,&communicator_halo[i]);
-  }
-  assert(Size==_Nprocessors);
-}
-
-CartesianCommunicator::~CartesianCommunicator()
-{
-  int MPI_is_finalised;
-  MPI_Finalized(&MPI_is_finalised);
-  if (communicator && !MPI_is_finalised) {
-    MPI_Comm_free(&communicator);
-    for(int i=0;i<communicator_halo.size();i++){
-      MPI_Comm_free(&communicator_halo[i]);
-    }
-  }
-}
-void CartesianCommunicator::GlobalSum(uint32_t &u){
-  int ierr=MPI_Allreduce(MPI_IN_PLACE,&u,1,MPI_UINT32_T,MPI_SUM,communicator);
-  assert(ierr==0);
-}
-void CartesianCommunicator::GlobalSum(uint64_t &u){
-  int ierr=MPI_Allreduce(MPI_IN_PLACE,&u,1,MPI_UINT64_T,MPI_SUM,communicator);
-  assert(ierr==0);
-}
-void CartesianCommunicator::GlobalSumVector(uint64_t* u,int N){
-  int ierr=MPI_Allreduce(MPI_IN_PLACE,u,N,MPI_UINT64_T,MPI_SUM,communicator);
-  assert(ierr==0);
-}
-void CartesianCommunicator::GlobalXOR(uint32_t &u){
-  int ierr=MPI_Allreduce(MPI_IN_PLACE,&u,1,MPI_UINT32_T,MPI_BXOR,communicator);
-  assert(ierr==0);
-}
-void CartesianCommunicator::GlobalXOR(uint64_t &u){
-  int ierr=MPI_Allreduce(MPI_IN_PLACE,&u,1,MPI_UINT64_T,MPI_BXOR,communicator);
-  assert(ierr==0);
-}
-void CartesianCommunicator::GlobalSum(float &f){
-  int ierr=MPI_Allreduce(MPI_IN_PLACE,&f,1,MPI_FLOAT,MPI_SUM,communicator);
-  assert(ierr==0);
-}
-void CartesianCommunicator::GlobalSumVector(float *f,int N)
-{
-  int ierr=MPI_Allreduce(MPI_IN_PLACE,f,N,MPI_FLOAT,MPI_SUM,communicator);
-  assert(ierr==0);
-}
-void CartesianCommunicator::GlobalSum(double &d)
-{
-  int ierr = MPI_Allreduce(MPI_IN_PLACE,&d,1,MPI_DOUBLE,MPI_SUM,communicator);
-  assert(ierr==0);
-}
-void CartesianCommunicator::GlobalSumVector(double *d,int N)
-{
-  int ierr = MPI_Allreduce(MPI_IN_PLACE,d,N,MPI_DOUBLE,MPI_SUM,communicator);
-  assert(ierr==0);
-}
-// Basic Halo comms primitive
-void CartesianCommunicator::SendToRecvFrom(void *xmit,
-					   int dest,
-					   void *recv,
-					   int from,
-					   int bytes)
-{
-  std::vector<CommsRequest_t> reqs(0);
-  unsigned long  xcrc = crc32(0L, Z_NULL, 0);
-  unsigned long  rcrc = crc32(0L, Z_NULL, 0);
-
-  int myrank = _processor;
-  int ierr;
-
-  // Enforce no UVM in comms, device or host OK
-  assert(acceleratorIsCommunicable(xmit));
-  assert(acceleratorIsCommunicable(recv));
-
-  // Give the CPU to MPI immediately; can use threads to overlap optionally
-  //  printf("proc %d SendToRecvFrom %d bytes Sendrecv \n",_processor,bytes);
-  ierr=MPI_Sendrecv(xmit,bytes,MPI_CHAR,dest,myrank,
-		    recv,bytes,MPI_CHAR,from, from,
-		    communicator,MPI_STATUS_IGNORE);
-  assert(ierr==0);
-
-  //  xcrc = crc32(xcrc,(unsigned char *)xmit,bytes);
-  //  rcrc = crc32(rcrc,(unsigned char *)recv,bytes);
-  //  printf("proc %d SendToRecvFrom %d bytes xcrc %lx rcrc %lx\n",_processor,bytes,xcrc,rcrc); fflush
-}
-// Basic Halo comms primitive
-double CartesianCommunicator::StencilSendToRecvFrom( void *xmit,
-						     int dest,
-						     void *recv,
-						     int from,
-						     int bytes,int dir)
-{
-  std::vector<CommsRequest_t> list;
-  double offbytes = StencilSendToRecvFromBegin(list,xmit,dest,recv,from,bytes,dir);
-  StencilSendToRecvFromComplete(list,dir);
-  return offbytes;
-}
-
-double CartesianCommunicator::StencilSendToRecvFromBegin(std::vector<CommsRequest_t> &list,
-							 void *xmit,
-							 int dest,
-							 void *recv,
-							 int from,
-							 int bytes,int dir)
-{
-  int ncomm  =communicator_halo.size();
-  int commdir=dir%ncomm;
-
-  MPI_Request xrq;
-  MPI_Request rrq;
-
-  int ierr;
-  int gdest = ShmRanks[dest];
-  int gfrom = ShmRanks[from];
-  int gme   = ShmRanks[_processor];
-
-  assert(dest != _processor);
-  assert(from != _processor);
-  assert(gme  == ShmRank);
-  double off_node_bytes=0.0;
-  int tag;
-
-  if ( gfrom ==MPI_UNDEFINED) {
-    tag= dir+from*32;
-    ierr=MPI_Irecv(recv, bytes, MPI_CHAR,from,tag,communicator_halo[commdir],&rrq);
-    assert(ierr==0);
-    list.push_back(rrq);
-    off_node_bytes+=bytes;
-  }
-
-  if ( gdest == MPI_UNDEFINED ) {
-    tag= dir+_processor*32;
-    ierr =MPI_Isend(xmit, bytes, MPI_CHAR,dest,tag,communicator_halo[commdir],&xrq);
-    assert(ierr==0);
-    list.push_back(xrq);
-    off_node_bytes+=bytes;
-  }
-
-  if ( CommunicatorPolicy == CommunicatorPolicySequential ) {
-    this->StencilSendToRecvFromComplete(list,dir);
-  }
-
-  return off_node_bytes;
-}
-void CartesianCommunicator::StencilSendToRecvFromComplete(std::vector<CommsRequest_t> &list,int dir)
-{
-  int nreq=list.size();
-
-  if (nreq==0) return;
-
-  std::vector<MPI_Status> status(nreq);
-  int ierr = MPI_Waitall(nreq,&list[0],&status[0]);
-  assert(ierr==0);
-  list.resize(0);
-}
-void CartesianCommunicator::StencilBarrier(void)
-{
-  MPI_Barrier  (ShmComm);
-}
-//void CartesianCommunicator::SendToRecvFromComplete(std::vector<CommsRequest_t> &list)
-//{
-//}
-void CartesianCommunicator::Barrier(void)
-{
-  int ierr = MPI_Barrier(communicator);
-  assert(ierr==0);
-}
-void CartesianCommunicator::Broadcast(int root,void* data, int bytes)
-{
-  int ierr=MPI_Bcast(data,
-		     bytes,
-		     MPI_BYTE,
-		     root,
-		     communicator);
-  assert(ierr==0);
-}
-int CartesianCommunicator::RankWorld(void){
-  int r;
-  MPI_Comm_rank(communicator_world,&r);
-  return r;
-}
-void CartesianCommunicator::BroadcastWorld(int root,void* data, int bytes)
-{
-  int ierr= MPI_Bcast(data,
-		      bytes,
-		      MPI_BYTE,
-		      root,
-		      communicator_world);
-  assert(ierr==0);
-}
-
-void CartesianCommunicator::AllToAll(int dim,void  *in,void *out,uint64_t words,uint64_t bytes)
-{
-  Coordinate row(_ndimension,1);
-  assert(dim>=0 && dim<_ndimension);
-
-  //  Split the communicator
-  row[dim] = _processors[dim];
-
-  int me;
-  CartesianCommunicator Comm(row,*this,me);
-  Comm.AllToAll(in,out,words,bytes);
-}
-void CartesianCommunicator::AllToAll(void  *in,void *out,uint64_t words,uint64_t bytes)
-{
-  // MPI is a pain and uses "int" arguments
-  // 64*64*64*128*16 == 500Million elements of data.
-  // When 24*4 bytes multiples get 50x 10^9 >>> 2x10^9 Y2K bug.
-  // (Turns up on 32^3 x 64 Gparity too)
-  MPI_Datatype object;
-  int iwords;
-  int ibytes;
-  iwords = words;
-  ibytes = bytes;
-  assert(words == iwords); // safe to cast to int ?
-  assert(bytes == ibytes); // safe to cast to int ?
-  MPI_Type_contiguous(ibytes,MPI_BYTE,&object);
-  MPI_Type_commit(&object);
-  MPI_Alltoall(in,iwords,object,out,iwords,object,communicator);
-  MPI_Type_free(&object);
-}
-
-NAMESPACE_END(Grid);

Grid/communicator/Communicator_none.cc

@@ -1,136 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/communicator/Communicator_none.cc
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#include <Grid/GridCore.h>
-
-NAMESPACE_BEGIN(Grid);
-
-///////////////////////////////////////////////////////////////////////////////////////////////////
-// Info that is setup once and indept of cartesian layout
-///////////////////////////////////////////////////////////////////////////////////////////////////
-Grid_MPI_Comm       CartesianCommunicator::communicator_world;
-
-void CartesianCommunicator::Init(int *argc, char *** arv)
-{
-  GlobalSharedMemory::Init(communicator_world);
-  GlobalSharedMemory::SharedMemoryAllocate(
-					   GlobalSharedMemory::MAX_MPI_SHM_BYTES,
-					   GlobalSharedMemory::Hugepages);
-}
-
-CartesianCommunicator::CartesianCommunicator(const Coordinate &processors,const CartesianCommunicator &parent,int &srank) 
-  : CartesianCommunicator(processors) 
-{
-  srank=0;
-  SetCommunicator(communicator_world);
-}
-
-CartesianCommunicator::CartesianCommunicator(const Coordinate &processors)
-{
-  _processors = processors;
-  _ndimension = processors.size();  assert(_ndimension>=1);
-  _processor_coor.resize(_ndimension);
-  
-  // Require 1^N processor grid for fake
-  _Nprocessors=1;
-  _processor = 0;
-  for(int d=0;d<_ndimension;d++) {
-    assert(_processors[d]==1);
-    _processor_coor[d] = 0;
-  }
-  SetCommunicator(communicator_world);
-}
-
-CartesianCommunicator::~CartesianCommunicator(){}
-
-void CartesianCommunicator::GlobalSum(float &){}
-void CartesianCommunicator::GlobalSumVector(float *,int N){}
-void CartesianCommunicator::GlobalSum(double &){}
-void CartesianCommunicator::GlobalSumVector(double *,int N){}
-void CartesianCommunicator::GlobalSum(uint32_t &){}
-void CartesianCommunicator::GlobalSum(uint64_t &){}
-void CartesianCommunicator::GlobalSumVector(uint64_t *,int N){}
-void CartesianCommunicator::GlobalXOR(uint32_t &){}
-void CartesianCommunicator::GlobalXOR(uint64_t &){}
-
-
-// Basic Halo comms primitive -- should never call in single node
-void CartesianCommunicator::SendToRecvFrom(void *xmit,
-					   int dest,
-					   void *recv,
-					   int from,
-					   int bytes)
-{
-  assert(0);
-}
-void CartesianCommunicator::AllToAll(int dim,void  *in,void *out,uint64_t words,uint64_t bytes)
-{
-  bcopy(in,out,bytes*words);
-}
-void CartesianCommunicator::AllToAll(void  *in,void *out,uint64_t words,uint64_t bytes)
-{
-  bcopy(in,out,bytes*words);
-}
-
-int  CartesianCommunicator::RankWorld(void){return 0;}
-void CartesianCommunicator::Barrier(void){}
-void CartesianCommunicator::Broadcast(int root,void* data, int bytes) {}
-void CartesianCommunicator::BroadcastWorld(int root,void* data, int bytes) { }
-int  CartesianCommunicator::RankFromProcessorCoor(Coordinate &coor) {  return 0;}
-void CartesianCommunicator::ProcessorCoorFromRank(int rank, Coordinate &coor){  coor = _processor_coor; }
-void CartesianCommunicator::ShiftedRanks(int dim,int shift,int &source,int &dest)
-{
-  source =0;
-  dest=0;
-}
-
-double CartesianCommunicator::StencilSendToRecvFrom( void *xmit,
-						     int xmit_to_rank,
-						     void *recv,
-						     int recv_from_rank,
-						     int bytes, int dir)
-{
-  return 2.0*bytes;
-}
-double CartesianCommunicator::StencilSendToRecvFromBegin(std::vector<CommsRequest_t> &list,
-							 void *xmit,
-							 int xmit_to_rank,
-							 void *recv,
-							 int recv_from_rank,
-							 int bytes, int dir)
-{
-  return 2.0*bytes;
-}
-void CartesianCommunicator::StencilSendToRecvFromComplete(std::vector<CommsRequest_t> &waitall,int dir)
-{
-}
-
-void CartesianCommunicator::StencilBarrier(void){};
-
-NAMESPACE_END(Grid);
-
-

Grid/communicator/SharedMemory.cc

@@ -1,96 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/communicator/SharedMemory.cc
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-
-#include <Grid/GridCore.h>
-
-NAMESPACE_BEGIN(Grid); 
-
-// static data
-
-int                 GlobalSharedMemory::HPEhypercube = 1;
-uint64_t            GlobalSharedMemory::MAX_MPI_SHM_BYTES   = 1024LL*1024LL*1024LL; 
-int                 GlobalSharedMemory::Hugepages = 0;
-int                 GlobalSharedMemory::_ShmSetup;
-int                 GlobalSharedMemory::_ShmAlloc;
-uint64_t            GlobalSharedMemory::_ShmAllocBytes;
-
-std::vector<void *> GlobalSharedMemory::WorldShmCommBufs;
-
-Grid_MPI_Comm       GlobalSharedMemory::WorldShmComm;
-int                 GlobalSharedMemory::WorldShmRank;
-int                 GlobalSharedMemory::WorldShmSize;
-std::vector<int>    GlobalSharedMemory::WorldShmRanks;
-
-Grid_MPI_Comm       GlobalSharedMemory::WorldComm;
-int                 GlobalSharedMemory::WorldSize;
-int                 GlobalSharedMemory::WorldRank;
-
-int                 GlobalSharedMemory::WorldNodes;
-int                 GlobalSharedMemory::WorldNode;
-
-void GlobalSharedMemory::SharedMemoryFree(void)
-{
-  assert(_ShmAlloc);
-  assert(_ShmAllocBytes>0);
-  for(int r=0;r<WorldShmSize;r++){
-    munmap(WorldShmCommBufs[r],_ShmAllocBytes);
-  }
-  _ShmAlloc = 0;
-  _ShmAllocBytes = 0;
-}
-/////////////////////////////////
-// Alloc, free shmem region
-/////////////////////////////////
-void *SharedMemory::ShmBufferMalloc(size_t bytes){
-  //  bytes = (bytes+sizeof(vRealD))&(~(sizeof(vRealD)-1));// align up bytes
-  void *ptr = (void *)heap_top;
-  heap_top  += bytes;
-  heap_bytes+= bytes;
-  if (heap_bytes >= heap_size) {
-    std::cout<< " ShmBufferMalloc exceeded shared heap size -- try increasing with --shm <MB> flag" <<std::endl;
-    std::cout<< " Parameter specified in units of MB (megabytes) " <<std::endl;
-    std::cout<< " Current alloc is " << (bytes/(1024*1024)) <<"MB"<<std::endl;
-    std::cout<< " Current bytes is " << (heap_bytes/(1024*1024)) <<"MB"<<std::endl;
-    std::cout<< " Current heap  is " << (heap_size/(1024*1024)) <<"MB"<<std::endl;
-    assert(heap_bytes<heap_size);
-  }
-  //std::cerr << "ShmBufferMalloc "<<std::hex<< ptr<<" - "<<((uint64_t)ptr+bytes)<<std::dec<<std::endl;
-  return ptr;
-}
-void SharedMemory::ShmBufferFreeAll(void) { 
-  heap_top  =(size_t)ShmBufferSelf();
-  heap_bytes=0;
-}
-void *SharedMemory::ShmBufferSelf(void)
-{
-  //std::cerr << "ShmBufferSelf "<<ShmRank<<" "<<std::hex<< ShmCommBufs[ShmRank] <<std::dec<<std::endl;
-  return ShmCommBufs[ShmRank];
-}
-
-NAMESPACE_END(Grid); 
-

Grid/communicator/SharedMemory.h

@@ -1,163 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/communicator/SharedMemory.cc
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#pragma once 
-
-#include <Grid/GridCore.h>
-
-#if defined (GRID_COMMS_MPI3) 
-#include <mpi.h>
-#endif 
-#include <semaphore.h>
-#include <fcntl.h>
-#include <unistd.h>
-#include <limits.h>
-#include <sys/types.h>
-#include <sys/ipc.h>
-#include <sys/shm.h>
-#include <sys/mman.h>
-#include <zlib.h>
-
-NAMESPACE_BEGIN(Grid);
-
-#if defined (GRID_COMMS_MPI3) 
-typedef MPI_Comm    Grid_MPI_Comm;
-typedef MPI_Request CommsRequest_t;
-#else 
-typedef int CommsRequest_t;
-typedef int Grid_MPI_Comm;
-#endif
-
-class GlobalSharedMemory {
-private:
-  static const int     MAXLOG2RANKSPERNODE = 16;            
-
-
-  // Init once lock on the buffer allocation
-  static int      _ShmSetup;
-  static int      _ShmAlloc;
-  static uint64_t _ShmAllocBytes;
-
-public:
-  ///////////////////////////////////////
-  // HPE 8600 hypercube optimisation
-  ///////////////////////////////////////
-  static int HPEhypercube;
-
-  static int      ShmSetup(void)      { return _ShmSetup; }
-  static int      ShmAlloc(void)      { return _ShmAlloc; }
-  static uint64_t ShmAllocBytes(void) { return _ShmAllocBytes; }
-  static uint64_t      MAX_MPI_SHM_BYTES;
-  static int           Hugepages;
-
-  static std::vector<void *> WorldShmCommBufs;
-
-  static Grid_MPI_Comm WorldComm;
-  static int           WorldRank;
-  static int           WorldSize;
-
-  static Grid_MPI_Comm WorldShmComm;
-  static int           WorldShmRank;
-  static int           WorldShmSize;
-
-  static int           WorldNodes;
-  static int           WorldNode;
-
-  static std::vector<int>  WorldShmRanks;
-
-  //////////////////////////////////////////////////////////////////////////////////////
-  // Create an optimal reordered communicator that makes MPI_Cart_create get it right
-  //////////////////////////////////////////////////////////////////////////////////////
-  static void Init(Grid_MPI_Comm comm); // Typically MPI_COMM_WORLD
-  static void OptimalCommunicator            (const Coordinate &processors,Grid_MPI_Comm & optimal_comm);  // Turns MPI_COMM_WORLD into right layout for Cartesian
-  static void OptimalCommunicatorHypercube   (const Coordinate &processors,Grid_MPI_Comm & optimal_comm);  // Turns MPI_COMM_WORLD into right layout for Cartesian
-  static void OptimalCommunicatorSharedMemory(const Coordinate &processors,Grid_MPI_Comm & optimal_comm);  // Turns MPI_COMM_WORLD into right layout for Cartesian
-  static void GetShmDims(const Coordinate &WorldDims,Coordinate &ShmDims);
-  ///////////////////////////////////////////////////
-  // Provide shared memory facilities off comm world
-  ///////////////////////////////////////////////////
-  static void SharedMemoryAllocate(uint64_t bytes, int flags);
-  static void SharedMemoryFree(void);
-  static void SharedMemoryCopy(void *dest,const void *src,size_t bytes);
-  static void SharedMemoryZero(void *dest,size_t bytes);
-
-};
-
-//////////////////////////////
-// one per communicator
-//////////////////////////////
-class SharedMemory 
-{
-private:
-  static const int     MAXLOG2RANKSPERNODE = 16;            
-
-  size_t heap_top;
-  size_t heap_bytes;
-  size_t heap_size;
-
-protected:
-
-  Grid_MPI_Comm    ShmComm; // for barriers
-  int    ShmRank; 
-  int    ShmSize;
-  std::vector<void *> ShmCommBufs;
-  std::vector<int>    ShmRanks;// Mapping comm ranks to Shm ranks
-
-public:
-  SharedMemory() {};
-  ~SharedMemory();
-  ///////////////////////////////////////////////////////////////////////////////////////
-  // set the buffers & sizes
-  ///////////////////////////////////////////////////////////////////////////////////////
-  void SetCommunicator(Grid_MPI_Comm comm);
-
-  ////////////////////////////////////////////////////////////////////////
-  // For this instance ; disjoint buffer sets between splits if split grid
-  ////////////////////////////////////////////////////////////////////////
-  void ShmBarrier(void); 
-
-  ///////////////////////////////////////////////////
-  // Call on any instance
-  ///////////////////////////////////////////////////
-  void SharedMemoryTest(void);
-  
-  void *ShmBufferSelf(void);
-  void *ShmBuffer    (int rank);
-  void *ShmBufferTranslate(int rank,void * local_p);
-  void *ShmBufferMalloc(size_t bytes);
-  void  ShmBufferFreeAll(void) ;
-  
-  //////////////////////////////////////////////////////////////////////////
-  // Make info on Nodes & ranks and Shared memory available
-  //////////////////////////////////////////////////////////////////////////
-  int NodeCount(void) { return GlobalSharedMemory::WorldNodes;};
-  int RankCount(void) { return GlobalSharedMemory::WorldSize;};
-
-};
-
-NAMESPACE_END(Grid);
-

Grid/communicator/SharedMemoryMPI.cc

@@ -1,852 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/communicator/SharedMemory.cc
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-
-#include <Grid/GridCore.h>
-#include <pwd.h>
-
-#ifdef GRID_CUDA
-#include <cuda_runtime_api.h>
-#endif
-#ifdef GRID_HIP
-#include <hip/hip_runtime_api.h>
-#endif
-
-NAMESPACE_BEGIN(Grid); 
-#define header "SharedMemoryMpi: "
-/*Construct from an MPI communicator*/
-void GlobalSharedMemory::Init(Grid_MPI_Comm comm)
-{
-  assert(_ShmSetup==0);
-  WorldComm = comm;
-  MPI_Comm_rank(WorldComm,&WorldRank);
-  MPI_Comm_size(WorldComm,&WorldSize);
-  // WorldComm, WorldSize, WorldRank
-
-  /////////////////////////////////////////////////////////////////////
-  // Split into groups that can share memory
-  /////////////////////////////////////////////////////////////////////
-#ifndef GRID_MPI3_SHM_NONE
-  MPI_Comm_split_type(comm, MPI_COMM_TYPE_SHARED, 0, MPI_INFO_NULL,&WorldShmComm);
-#else
-  MPI_Comm_split(comm, WorldRank, 0, &WorldShmComm);
-#endif
-
-  MPI_Comm_rank(WorldShmComm     ,&WorldShmRank);
-  MPI_Comm_size(WorldShmComm     ,&WorldShmSize);
-
-  if ( WorldRank == 0) {
-    std::cout << header " World communicator of size " <<WorldSize << std::endl;  
-    std::cout << header " Node  communicator of size " <<WorldShmSize << std::endl;
-  }
-  // WorldShmComm, WorldShmSize, WorldShmRank
-
-  // WorldNodes
-  WorldNodes = WorldSize/WorldShmSize;
-  assert( (WorldNodes * WorldShmSize) == WorldSize );
-
-  // FIXME: Check all WorldShmSize are the same ?
-
-  /////////////////////////////////////////////////////////////////////
-  // find world ranks in our SHM group (i.e. which ranks are on our node)
-  /////////////////////////////////////////////////////////////////////
-  MPI_Group WorldGroup, ShmGroup;
-  MPI_Comm_group (WorldComm, &WorldGroup); 
-  MPI_Comm_group (WorldShmComm, &ShmGroup);
-
-  std::vector<int> world_ranks(WorldSize);   for(int r=0;r<WorldSize;r++) world_ranks[r]=r;
-
-  WorldShmRanks.resize(WorldSize); 
-  MPI_Group_translate_ranks (WorldGroup,WorldSize,&world_ranks[0],ShmGroup, &WorldShmRanks[0]); 
-
-  ///////////////////////////////////////////////////////////////////
-  // Identify who is in my group and nominate the leader
-  ///////////////////////////////////////////////////////////////////
-  int g=0;
-  std::vector<int> MyGroup;
-  MyGroup.resize(WorldShmSize);
-  for(int rank=0;rank<WorldSize;rank++){
-    if(WorldShmRanks[rank]!=MPI_UNDEFINED){
-      assert(g<WorldShmSize);
-      MyGroup[g++] = rank;
-    }
-  }
-  
-  std::sort(MyGroup.begin(),MyGroup.end(),std::less<int>());
-  int myleader = MyGroup[0];
-  
-  std::vector<int> leaders_1hot(WorldSize,0);
-  std::vector<int> leaders_group(WorldNodes,0);
-  leaders_1hot [ myleader ] = 1;
-    
-  ///////////////////////////////////////////////////////////////////
-  // global sum leaders over comm world
-  ///////////////////////////////////////////////////////////////////
-  int ierr=MPI_Allreduce(MPI_IN_PLACE,&leaders_1hot[0],WorldSize,MPI_INT,MPI_SUM,WorldComm);
-  assert(ierr==0);
-
-  ///////////////////////////////////////////////////////////////////
-  // find the group leaders world rank
-  ///////////////////////////////////////////////////////////////////
-  int group=0;
-  for(int l=0;l<WorldSize;l++){
-    if(leaders_1hot[l]){
-      leaders_group[group++] = l;
-    }
-  }
-
-  ///////////////////////////////////////////////////////////////////
-  // Identify the node of the group in which I (and my leader) live
-  ///////////////////////////////////////////////////////////////////
-  WorldNode=-1;
-  for(int g=0;g<WorldNodes;g++){
-    if (myleader == leaders_group[g]){
-      WorldNode=g;
-    }
-  }
-  assert(WorldNode!=-1);
-  _ShmSetup=1;
-}
-// Gray encode support 
-int BinaryToGray (int  binary) {
-  int gray = (binary>>1)^binary;
-  return gray;
-}
-int Log2Size(int TwoToPower,int MAXLOG2)
-{
-  int log2size = -1;
-  for(int i=0;i<=MAXLOG2;i++){
-    if ( (0x1<<i) == TwoToPower ) {
-      log2size = i;
-      break;
-    }
-  }
-  return log2size;
-}
-void GlobalSharedMemory::OptimalCommunicator(const Coordinate &processors,Grid_MPI_Comm & optimal_comm)
-{
-  //////////////////////////////////////////////////////////////////////////////
-  // Look and see if it looks like an HPE 8600 based on hostname conventions
-  //////////////////////////////////////////////////////////////////////////////
-  const int namelen = _POSIX_HOST_NAME_MAX;
-  char name[namelen];
-  int R;
-  int I;
-  int N;
-  gethostname(name,namelen);
-  int nscan = sscanf(name,"r%di%dn%d",&R,&I,&N) ;
-
-  if(nscan==3 && HPEhypercube ) OptimalCommunicatorHypercube(processors,optimal_comm);
-  else                          OptimalCommunicatorSharedMemory(processors,optimal_comm);
-}
-static inline int divides(int a,int b)
-{
-  return ( b == ( (b/a)*a ) );
-}
-void GlobalSharedMemory::GetShmDims(const Coordinate &WorldDims,Coordinate &ShmDims)
-{
-  ////////////////////////////////////////////////////////////////
-  // Powers of 2,3,5 only in prime decomposition for now
-  ////////////////////////////////////////////////////////////////
-  int ndimension = WorldDims.size();
-  ShmDims=Coordinate(ndimension,1);
-
-  std::vector<int> primes({2,3,5});
-
-  int dim = 0;
-  int last_dim = ndimension - 1;
-  int AutoShmSize = 1;
-  while(AutoShmSize != WorldShmSize) {
-    int p;
-    for(p=0;p<primes.size();p++) {
-      int prime=primes[p];
-      if ( divides(prime,WorldDims[dim]/ShmDims[dim])
-        && divides(prime,WorldShmSize/AutoShmSize)  ) {
-	AutoShmSize*=prime;
-	ShmDims[dim]*=prime;
-	last_dim = dim;
-	break;
-      }
-    }
-    if (p == primes.size() && last_dim == dim) {
-      std::cerr << "GlobalSharedMemory::GetShmDims failed" << std::endl;
-      exit(EXIT_FAILURE);
-    }
-    dim=(dim+1) %ndimension;
-  }
-}
-void GlobalSharedMemory::OptimalCommunicatorHypercube(const Coordinate &processors,Grid_MPI_Comm & optimal_comm)
-{
-  ////////////////////////////////////////////////////////////////
-  // Assert power of two shm_size.
-  ////////////////////////////////////////////////////////////////
-  int log2size = Log2Size(WorldShmSize,MAXLOG2RANKSPERNODE);
-  assert(log2size != -1);
-
-  ////////////////////////////////////////////////////////////////
-  // Identify the hypercube coordinate of this node using hostname
-  ////////////////////////////////////////////////////////////////
-  // n runs 0...7 9...16 18...25 27...34     (8*4)  5 bits
-  // i runs 0..7                                    3 bits
-  // r runs 0..3                                    2 bits
-  // 2^10 = 1024 nodes
-  const int maxhdim = 10; 
-  std::vector<int> HyperCubeCoords(maxhdim,0);
-  std::vector<int> RootHyperCubeCoords(maxhdim,0);
-  int R;
-  int I;
-  int N;
-  const int namelen = _POSIX_HOST_NAME_MAX;
-  char name[namelen];
-
-  // Parse ICE-XA hostname to get hypercube location
-  gethostname(name,namelen);
-  int nscan = sscanf(name,"r%di%dn%d",&R,&I,&N) ;
-  assert(nscan==3);
-
-  int nlo = N%9;
-  int nhi = N/9;
-  uint32_t hypercoor = (R<<8)|(I<<5)|(nhi<<3)|nlo ;
-  uint32_t rootcoor  = hypercoor;
-
-  //////////////////////////////////////////////////////////////////
-  // Print debug info
-  //////////////////////////////////////////////////////////////////
-  for(int d=0;d<maxhdim;d++){
-    HyperCubeCoords[d] = (hypercoor>>d)&0x1;
-  }
-
-  std::string hname(name);
-  //  std::cout << "hostname "<<hname<<std::endl;
-  //  std::cout << "R " << R << " I " << I << " N "<< N
-  //            << " hypercoor 0x"<<std::hex<<hypercoor<<std::dec<<std::endl;
-
-  //////////////////////////////////////////////////////////////////
-  // broadcast node 0's base coordinate for this partition.
-  //////////////////////////////////////////////////////////////////
-  MPI_Bcast(&rootcoor, sizeof(rootcoor), MPI_BYTE, 0, WorldComm); 
-  hypercoor=hypercoor-rootcoor;
-  assert(hypercoor<WorldSize);
-  assert(hypercoor>=0);
-
-  //////////////////////////////////////
-  // Printing
-  //////////////////////////////////////
-  for(int d=0;d<maxhdim;d++){
-    HyperCubeCoords[d] = (hypercoor>>d)&0x1;
-  }
-
-  ////////////////////////////////////////////////////////////////
-  // Identify subblock of ranks on node spreading across dims
-  // in a maximally symmetrical way
-  ////////////////////////////////////////////////////////////////
-  int ndimension              = processors.size();
-  Coordinate processor_coor(ndimension);
-  Coordinate WorldDims = processors;
-  Coordinate ShmDims  (ndimension);  Coordinate NodeDims (ndimension);
-  Coordinate ShmCoor  (ndimension);    Coordinate NodeCoor (ndimension);    Coordinate WorldCoor(ndimension);
-  Coordinate HyperCoor(ndimension);
-
-  GetShmDims(WorldDims,ShmDims);
-
-  ////////////////////////////////////////////////////////////////
-  // Establish torus of processes and nodes with sub-blockings
-  ////////////////////////////////////////////////////////////////
-  for(int d=0;d<ndimension;d++){
-    NodeDims[d] = WorldDims[d]/ShmDims[d];
-  }
-  ////////////////////////////////////////////////////////////////
-  // Map Hcube according to physical lattice 
-  // must partition. Loop over dims and find out who would join.
-  ////////////////////////////////////////////////////////////////
-  int hcoor = hypercoor;
-  for(int d=0;d<ndimension;d++){
-     int bits = Log2Size(NodeDims[d],MAXLOG2RANKSPERNODE);
-     int msk  = (0x1<<bits)-1;
-     HyperCoor[d]=hcoor & msk;  
-     HyperCoor[d]=BinaryToGray(HyperCoor[d]); // Space filling curve magic
-     hcoor = hcoor >> bits;
-  }
-  ////////////////////////////////////////////////////////////////
-  // Check processor counts match
-  ////////////////////////////////////////////////////////////////
-  int Nprocessors=1;
-  for(int i=0;i<ndimension;i++){
-    Nprocessors*=processors[i];
-  }
-  assert(WorldSize==Nprocessors);
-
-  ////////////////////////////////////////////////////////////////
-  // Establish mapping between lexico physics coord and WorldRank
-  ////////////////////////////////////////////////////////////////
-  int rank;
-
-  Lexicographic::CoorFromIndexReversed(NodeCoor,WorldNode   ,NodeDims);
-
-  for(int d=0;d<ndimension;d++) NodeCoor[d]=HyperCoor[d];
-
-  Lexicographic::CoorFromIndexReversed(ShmCoor ,WorldShmRank,ShmDims);
-  for(int d=0;d<ndimension;d++) WorldCoor[d] = NodeCoor[d]*ShmDims[d]+ShmCoor[d];
-  Lexicographic::IndexFromCoorReversed(WorldCoor,rank,WorldDims);
-
-  /////////////////////////////////////////////////////////////////
-  // Build the new communicator
-  /////////////////////////////////////////////////////////////////
-  int ierr= MPI_Comm_split(WorldComm,0,rank,&optimal_comm);
-  assert(ierr==0);
-}
-void GlobalSharedMemory::OptimalCommunicatorSharedMemory(const Coordinate &processors,Grid_MPI_Comm & optimal_comm)
-{
-  ////////////////////////////////////////////////////////////////
-  // Identify subblock of ranks on node spreading across dims
-  // in a maximally symmetrical way
-  ////////////////////////////////////////////////////////////////
-  int ndimension              = processors.size();
-  Coordinate processor_coor(ndimension);
-  Coordinate WorldDims = processors; Coordinate ShmDims(ndimension);  Coordinate NodeDims (ndimension);
-  Coordinate ShmCoor(ndimension);    Coordinate NodeCoor(ndimension);   Coordinate WorldCoor(ndimension);
-
-  GetShmDims(WorldDims,ShmDims);
-  ////////////////////////////////////////////////////////////////
-  // Establish torus of processes and nodes with sub-blockings
-  ////////////////////////////////////////////////////////////////
-  for(int d=0;d<ndimension;d++){
-    NodeDims[d] = WorldDims[d]/ShmDims[d];
-  }
-
-  ////////////////////////////////////////////////////////////////
-  // Check processor counts match
-  ////////////////////////////////////////////////////////////////
-  int Nprocessors=1;
-  for(int i=0;i<ndimension;i++){
-    Nprocessors*=processors[i];
-  }
-  assert(WorldSize==Nprocessors);
-
-  ////////////////////////////////////////////////////////////////
-  // Establish mapping between lexico physics coord and WorldRank
-  ////////////////////////////////////////////////////////////////
-  int rank;
-
-  Lexicographic::CoorFromIndexReversed(NodeCoor,WorldNode   ,NodeDims);
-  Lexicographic::CoorFromIndexReversed(ShmCoor ,WorldShmRank,ShmDims);
-  for(int d=0;d<ndimension;d++) WorldCoor[d] = NodeCoor[d]*ShmDims[d]+ShmCoor[d];
-  Lexicographic::IndexFromCoorReversed(WorldCoor,rank,WorldDims);
-
-  /////////////////////////////////////////////////////////////////
-  // Build the new communicator
-  /////////////////////////////////////////////////////////////////
-  int ierr= MPI_Comm_split(WorldComm,0,rank,&optimal_comm);
-  assert(ierr==0);
-}
-////////////////////////////////////////////////////////////////////////////////////////////
-// SHMGET
-////////////////////////////////////////////////////////////////////////////////////////////
-#ifdef GRID_MPI3_SHMGET
-void GlobalSharedMemory::SharedMemoryAllocate(uint64_t bytes, int flags)
-{
-  std::cout << header "SharedMemoryAllocate "<< bytes<< " shmget implementation "<<std::endl;
-  assert(_ShmSetup==1);
-  assert(_ShmAlloc==0);
-
-  //////////////////////////////////////////////////////////////////////////////////////////////////////////
-  // allocate the shared windows for our group
-  //////////////////////////////////////////////////////////////////////////////////////////////////////////
-  MPI_Barrier(WorldShmComm);
-  WorldShmCommBufs.resize(WorldShmSize);
-  std::vector<int> shmids(WorldShmSize);
-
-  if ( WorldShmRank == 0 ) {
-    for(int r=0;r<WorldShmSize;r++){
-      size_t size = bytes;
-      key_t key   = IPC_PRIVATE;
-      int flags = IPC_CREAT | SHM_R | SHM_W;
-#ifdef SHM_HUGETLB
-      if (Hugepages) flags|=SHM_HUGETLB;
-#endif
-      if ((shmids[r]= shmget(key,size, flags)) ==-1) {
-        int errsv = errno;
-        printf("Errno %d\n",errsv);
-        printf("key   %d\n",key);
-        printf("size  %ld\n",size);
-        printf("flags %d\n",flags);
-        perror("shmget");
-        exit(1);
-      }
-    }
-  }
-  MPI_Barrier(WorldShmComm);
-  MPI_Bcast(&shmids[0],WorldShmSize*sizeof(int),MPI_BYTE,0,WorldShmComm);
-  MPI_Barrier(WorldShmComm);
-
-  for(int r=0;r<WorldShmSize;r++){
-    WorldShmCommBufs[r] = (uint64_t *)shmat(shmids[r], NULL,0);
-    if (WorldShmCommBufs[r] == (uint64_t *)-1) {
-      perror("Shared memory attach failure");
-      shmctl(shmids[r], IPC_RMID, NULL);
-      exit(2);
-    }
-  }
-  MPI_Barrier(WorldShmComm);
-  ///////////////////////////////////
-  // Mark for clean up
-  ///////////////////////////////////
-  for(int r=0;r<WorldShmSize;r++){
-    shmctl(shmids[r], IPC_RMID,(struct shmid_ds *)NULL);
-  }
-  MPI_Barrier(WorldShmComm);
-
-  _ShmAlloc=1;
-  _ShmAllocBytes  = bytes;
-}
-#endif
-
-////////////////////////////////////////////////////////////////////////////////////////////
-// Hugetlbfs mapping intended
-////////////////////////////////////////////////////////////////////////////////////////////
-#if defined(GRID_CUDA) ||defined(GRID_HIP)
-void GlobalSharedMemory::SharedMemoryAllocate(uint64_t bytes, int flags)
-{
-  void * ShmCommBuf ; 
-  assert(_ShmSetup==1);
-  assert(_ShmAlloc==0);
-
-  //////////////////////////////////////////////////////////////////////////////////////////////////////////
-  // allocate the pointer array for shared windows for our group
-  //////////////////////////////////////////////////////////////////////////////////////////////////////////
-  MPI_Barrier(WorldShmComm);
-  WorldShmCommBufs.resize(WorldShmSize);
-
-  //////////////////////////////////////////////////////////////////////////////////////////////////////////
-  // TODO/FIXME : NOT ALL NVLINK BOARDS have full Peer to peer connectivity.
-  // The annoyance is that they have partial peer 2 peer. This occurs on the 8 GPU blades.
-  // e.g. DGX1, supermicro board, 
-  //////////////////////////////////////////////////////////////////////////////////////////////////////////
-  //  cudaDeviceGetP2PAttribute(&perfRank, cudaDevP2PAttrPerformanceRank, device1, device2);
-
-  ///////////////////////////////////////////////////////////////////////////////////////////////////////////
-  // Each MPI rank should allocate our own buffer
-  ///////////////////////////////////////////////////////////////////////////////////////////////////////////
-  ShmCommBuf = acceleratorAllocDevice(bytes);
-
-  if (ShmCommBuf == (void *)NULL ) {
-    std::cerr << " SharedMemoryMPI.cc acceleratorAllocDevice failed NULL pointer for " << bytes<<" bytes " << std::endl;
-    exit(EXIT_FAILURE);  
-  }
-  //  if ( WorldRank == 0 ){
-  if ( 1 ){
-    std::cout << WorldRank << header " SharedMemoryMPI.cc acceleratorAllocDevice "<< bytes 
-	      << "bytes at "<< std::hex<< ShmCommBuf <<std::dec<<" for comms buffers " <<std::endl;
-  }
-  SharedMemoryZero(ShmCommBuf,bytes);
-
-  ///////////////////////////////////////////////////////////////////////////////////////////////////////////
-  // Loop over ranks/gpu's on our node
-  ///////////////////////////////////////////////////////////////////////////////////////////////////////////
-  for(int r=0;r<WorldShmSize;r++){
-
-#ifndef GRID_MPI3_SHM_NONE
-    //////////////////////////////////////////////////
-    // If it is me, pass around the IPC access key
-    //////////////////////////////////////////////////
-#ifdef GRID_CUDA
-    cudaIpcMemHandle_t handle;
-    if ( r==WorldShmRank ) { 
-      auto err = cudaIpcGetMemHandle(&handle,ShmCommBuf);
-      if ( err !=  cudaSuccess) {
-	std::cerr << " SharedMemoryMPI.cc cudaIpcGetMemHandle failed for rank" << r <<" "<<cudaGetErrorString(err)<< std::endl;
-	exit(EXIT_FAILURE);
-      }
-    }
-#endif
-#ifdef GRID_HIP
-    hipIpcMemHandle_t handle;    
-    if ( r==WorldShmRank ) { 
-      auto err = hipIpcGetMemHandle(&handle,ShmCommBuf);
-      if ( err !=  hipSuccess) {
-	std::cerr << " SharedMemoryMPI.cc hipIpcGetMemHandle failed for rank" << r <<" "<<hipGetErrorString(err)<< std::endl;
-	exit(EXIT_FAILURE);
-      }
-    }
-#endif
-    //////////////////////////////////////////////////
-    // Share this IPC handle across the Shm Comm
-    //////////////////////////////////////////////////
-    { 
-      int ierr=MPI_Bcast(&handle,
-			 sizeof(handle),
-			 MPI_BYTE,
-			 r,
-			 WorldShmComm);
-      assert(ierr==0);
-    }
-    
-    ///////////////////////////////////////////////////////////////
-    // If I am not the source, overwrite thisBuf with remote buffer
-    ///////////////////////////////////////////////////////////////
-    void * thisBuf = ShmCommBuf;
-#ifdef GRID_CUDA
-    if ( r!=WorldShmRank ) { 
-      auto err = cudaIpcOpenMemHandle(&thisBuf,handle,cudaIpcMemLazyEnablePeerAccess);
-      if ( err !=  cudaSuccess) {
-	std::cerr << " SharedMemoryMPI.cc cudaIpcOpenMemHandle failed for rank" << r <<" "<<cudaGetErrorString(err)<< std::endl;
-	exit(EXIT_FAILURE);
-      }
-    }
-#endif
-#ifdef GRID_HIP
-    if ( r!=WorldShmRank ) { 
-      auto err = hipIpcOpenMemHandle(&thisBuf,handle,hipIpcMemLazyEnablePeerAccess);
-      if ( err !=  hipSuccess) {
-	std::cerr << " SharedMemoryMPI.cc hipIpcOpenMemHandle failed for rank" << r <<" "<<hipGetErrorString(err)<< std::endl;
-	exit(EXIT_FAILURE);
-      }
-    }
-#endif
-    ///////////////////////////////////////////////////////////////
-    // Save a copy of the device buffers
-    ///////////////////////////////////////////////////////////////
-    WorldShmCommBufs[r] = thisBuf;
-#else
-    WorldShmCommBufs[r] = ShmCommBuf;
-#endif
-  }
-
-  _ShmAllocBytes=bytes;
-  _ShmAlloc=1;
-}
-#else 
-#ifdef GRID_MPI3_SHMMMAP
-void GlobalSharedMemory::SharedMemoryAllocate(uint64_t bytes, int flags)
-{
-  std::cout << header "SharedMemoryAllocate "<< bytes<< " MMAP implementation "<< GRID_SHM_PATH <<std::endl;
-  assert(_ShmSetup==1);
-  assert(_ShmAlloc==0);
-  //////////////////////////////////////////////////////////////////////////////////////////////////////////
-  // allocate the shared windows for our group
-  //////////////////////////////////////////////////////////////////////////////////////////////////////////
-  MPI_Barrier(WorldShmComm);
-  WorldShmCommBufs.resize(WorldShmSize);
-  
-  ////////////////////////////////////////////////////////////////////////////////////////////
-  // Hugetlbfs and others map filesystems as mappable huge pages
-  ////////////////////////////////////////////////////////////////////////////////////////////
-  char shm_name [NAME_MAX];
-  for(int r=0;r<WorldShmSize;r++){
-    
-    sprintf(shm_name,GRID_SHM_PATH "/Grid_mpi3_shm_%d_%d",WorldNode,r);
-    int fd=open(shm_name,O_RDWR|O_CREAT,0666);
-    if ( fd == -1) { 
-      printf("open %s failed\n",shm_name);
-      perror("open hugetlbfs");
-      exit(0);
-    }
-    int mmap_flag = MAP_SHARED ;
-#ifdef MAP_POPULATE    
-    mmap_flag|=MAP_POPULATE;
-#endif
-#ifdef MAP_HUGETLB
-    if ( flags ) mmap_flag |= MAP_HUGETLB;
-#endif
-    void *ptr = (void *) mmap(NULL, bytes, PROT_READ | PROT_WRITE, mmap_flag,fd, 0); 
-    if ( ptr == (void *)MAP_FAILED ) {    
-      printf("mmap %s failed\n",shm_name);
-      perror("failed mmap");      assert(0);    
-    }
-    assert(((uint64_t)ptr&0x3F)==0);
-    close(fd);
-    WorldShmCommBufs[r] =ptr;
-    //    std::cout << header "Set WorldShmCommBufs["<<r<<"]="<<ptr<< "("<< bytes<< "bytes)"<<std::endl;
-  }
-  _ShmAlloc=1;
-  _ShmAllocBytes  = bytes;
-};
-#endif // MMAP
-
-#ifdef GRID_MPI3_SHM_NONE
-void GlobalSharedMemory::SharedMemoryAllocate(uint64_t bytes, int flags)
-{
-  std::cout << header "SharedMemoryAllocate "<< bytes<< " MMAP anonymous implementation "<<std::endl;
-  assert(_ShmSetup==1);
-  assert(_ShmAlloc==0);
-  //////////////////////////////////////////////////////////////////////////////////////////////////////////
-  // allocate the shared windows for our group
-  //////////////////////////////////////////////////////////////////////////////////////////////////////////
-  MPI_Barrier(WorldShmComm);
-  WorldShmCommBufs.resize(WorldShmSize);
-  
-  ////////////////////////////////////////////////////////////////////////////////////////////
-  // Hugetlbf and others map filesystems as mappable huge pages
-  ////////////////////////////////////////////////////////////////////////////////////////////
-  char shm_name [NAME_MAX];
-  assert(WorldShmSize == 1);
-  for(int r=0;r<WorldShmSize;r++){
-    
-    int fd=-1;
-    int mmap_flag = MAP_SHARED |MAP_ANONYMOUS ;
-#ifdef MAP_POPULATE    
-    mmap_flag|=MAP_POPULATE;
-#endif
-#ifdef MAP_HUGETLB
-    if ( flags ) mmap_flag |= MAP_HUGETLB;
-#endif
-    void *ptr = (void *) mmap(NULL, bytes, PROT_READ | PROT_WRITE, mmap_flag,fd, 0); 
-    if ( ptr == (void *)MAP_FAILED ) {    
-      printf("mmap %s failed\n",shm_name);
-      perror("failed mmap");      assert(0);    
-    }
-    assert(((uint64_t)ptr&0x3F)==0);
-    close(fd);
-    WorldShmCommBufs[r] =ptr;
-    //    std::cout << "Set WorldShmCommBufs["<<r<<"]="<<ptr<< "("<< bytes<< "bytes)"<<std::endl;
-  }
-  _ShmAlloc=1;
-  _ShmAllocBytes  = bytes;
-};
-#endif // MMAP
-
-#ifdef GRID_MPI3_SHMOPEN
-////////////////////////////////////////////////////////////////////////////////////////////
-// POSIX SHMOPEN ; as far as I know Linux does not allow EXPLICIT HugePages with this case
-// tmpfs (Larry Meadows says) does not support explicit huge page, and this is used for 
-// the posix shm virtual file system
-////////////////////////////////////////////////////////////////////////////////////////////
-void GlobalSharedMemory::SharedMemoryAllocate(uint64_t bytes, int flags)
-{ 
-  std::cout << header "SharedMemoryAllocate "<< bytes<< " SHMOPEN implementation "<<std::endl;
-  assert(_ShmSetup==1);
-  assert(_ShmAlloc==0); 
-  MPI_Barrier(WorldShmComm);
-  WorldShmCommBufs.resize(WorldShmSize);
-
-  char shm_name [NAME_MAX];
-  if ( WorldShmRank == 0 ) {
-    for(int r=0;r<WorldShmSize;r++){
-	
-      size_t size = bytes;
-      
-      struct passwd *pw = getpwuid (getuid());
-      sprintf(shm_name,"/Grid_%s_mpi3_shm_%d_%d",pw->pw_name,WorldNode,r);
-      
-      shm_unlink(shm_name);
-      int fd=shm_open(shm_name,O_RDWR|O_CREAT,0666);
-      if ( fd < 0 ) {	perror("failed shm_open");	assert(0);      }
-      ftruncate(fd, size);
-	
-      int mmap_flag = MAP_SHARED;
-#ifdef MAP_POPULATE 
-      mmap_flag |= MAP_POPULATE;
-#endif
-#ifdef MAP_HUGETLB
-      if (flags) mmap_flag |= MAP_HUGETLB;
-#endif
-      void * ptr =  mmap(NULL,size, PROT_READ | PROT_WRITE, mmap_flag, fd, 0);
-      
-      if ( ptr == (void * )MAP_FAILED ) {       
-	perror("failed mmap");     
-	assert(0);    
-      }
-      assert(((uint64_t)ptr&0x3F)==0);
-      
-      WorldShmCommBufs[r] =ptr;
-      close(fd);
-    }
-  }
-
-  MPI_Barrier(WorldShmComm);
-  
-  if ( WorldShmRank != 0 ) { 
-    for(int r=0;r<WorldShmSize;r++){
-
-      size_t size = bytes ;
-      
-      struct passwd *pw = getpwuid (getuid());
-      sprintf(shm_name,"/Grid_%s_mpi3_shm_%d_%d",pw->pw_name,WorldNode,r);
-      
-      int fd=shm_open(shm_name,O_RDWR,0666);
-      if ( fd<0 ) {	perror("failed shm_open");	assert(0);      }
-      
-      void * ptr =  mmap(NULL,size, PROT_READ | PROT_WRITE, MAP_SHARED, fd, 0);
-      if ( ptr == MAP_FAILED ) {       perror("failed mmap");      assert(0);    }
-      assert(((uint64_t)ptr&0x3F)==0);
-      WorldShmCommBufs[r] =ptr;
-
-      close(fd);
-    }
-  }
-  _ShmAlloc=1;
-  _ShmAllocBytes = bytes;
-}
-#endif
-#endif // End NVCC case for GPU device buffers
-
-/////////////////////////////////////////////////////////////////////////
-// Routines accessing shared memory should route through for GPU safety
-/////////////////////////////////////////////////////////////////////////
-void GlobalSharedMemory::SharedMemoryZero(void *dest,size_t bytes)
-{
-#ifdef GRID_CUDA
-  cudaMemset(dest,0,bytes);
-#else
-  bzero(dest,bytes);
-#endif
-}
-void GlobalSharedMemory::SharedMemoryCopy(void *dest,const void *src,size_t bytes)
-{
-#ifdef GRID_CUDA
-  cudaMemcpy(dest,src,bytes,cudaMemcpyDefault);
-#else   
-  bcopy(src,dest,bytes);
-#endif
-}
-////////////////////////////////////////////////////////
-// Global shared functionality finished
-// Now move to per communicator functionality
-////////////////////////////////////////////////////////
-void SharedMemory::SetCommunicator(Grid_MPI_Comm comm)
-{
-  int rank, size;
-  MPI_Comm_rank(comm,&rank);
-  MPI_Comm_size(comm,&size);
-  ShmRanks.resize(size);
-
-  /////////////////////////////////////////////////////////////////////
-  // Split into groups that can share memory
-  /////////////////////////////////////////////////////////////////////
-#ifndef GRID_MPI3_SHM_NONE
-  MPI_Comm_split_type(comm, MPI_COMM_TYPE_SHARED, 0, MPI_INFO_NULL,&ShmComm);
-#else
-  MPI_Comm_split(comm, rank, 0, &ShmComm);
-#endif
-  MPI_Comm_rank(ShmComm     ,&ShmRank);
-  MPI_Comm_size(ShmComm     ,&ShmSize);
-  ShmCommBufs.resize(ShmSize);
-
-  //////////////////////////////////////////////////////////////////////
-  // Map ShmRank to WorldShmRank and use the right buffer
-  //////////////////////////////////////////////////////////////////////
-  assert (GlobalSharedMemory::ShmAlloc()==1);
-  heap_size = GlobalSharedMemory::ShmAllocBytes();
-  for(int r=0;r<ShmSize;r++){
-
-    uint32_t wsr = (r==ShmRank) ? GlobalSharedMemory::WorldShmRank : 0 ;
-
-    MPI_Allreduce(MPI_IN_PLACE,&wsr,1,MPI_UINT32_T,MPI_SUM,ShmComm);
-
-    ShmCommBufs[r] = GlobalSharedMemory::WorldShmCommBufs[wsr];
-  }
-  ShmBufferFreeAll();
-
-  /////////////////////////////////////////////////////////////////////
-  // find comm ranks in our SHM group (i.e. which ranks are on our node)
-  /////////////////////////////////////////////////////////////////////
-  MPI_Group FullGroup, ShmGroup;
-  MPI_Comm_group (comm   , &FullGroup); 
-  MPI_Comm_group (ShmComm, &ShmGroup);
-
-  std::vector<int> ranks(size);   for(int r=0;r<size;r++) ranks[r]=r;
-  MPI_Group_translate_ranks (FullGroup,size,&ranks[0],ShmGroup, &ShmRanks[0]); 
-
-#ifdef GRID_SHM_FORCE_MPI
-  // Hide the shared memory path between ranks
-  {
-    for(int r=0;r<size;r++){
-      if ( r!=rank ) {
-	ShmRanks[r] = MPI_UNDEFINED;
-      }
-    }
-  }
-#endif
-
-  SharedMemoryTest();
-}
-//////////////////////////////////////////////////////////////////
-// On node barrier
-//////////////////////////////////////////////////////////////////
-void SharedMemory::ShmBarrier(void)
-{
-  MPI_Barrier  (ShmComm);
-}
-//////////////////////////////////////////////////////////////////////////////////////////////////////////
-// Test the shared memory is working
-//////////////////////////////////////////////////////////////////////////////////////////////////////////
-void SharedMemory::SharedMemoryTest(void)
-{
-  ShmBarrier();
-  uint64_t check[3];
-  uint64_t magic = 0x5A5A5A;
-  if ( ShmRank == 0 ) {
-    for(uint64_t r=0;r<ShmSize;r++){
-       check[0]=GlobalSharedMemory::WorldNode;
-       check[1]=r;
-       check[2]=magic;
-       GlobalSharedMemory::SharedMemoryCopy( ShmCommBufs[r], check, 3*sizeof(uint64_t));
-    }
-  }
-  ShmBarrier();
-  for(uint64_t r=0;r<ShmSize;r++){
-    ShmBarrier();
-    GlobalSharedMemory::SharedMemoryCopy(check,ShmCommBufs[r], 3*sizeof(uint64_t));
-    ShmBarrier();
-    assert(check[0]==GlobalSharedMemory::WorldNode);
-    assert(check[1]==r);
-    assert(check[2]==magic);
-    ShmBarrier();
-  }
-}
-
-void *SharedMemory::ShmBuffer(int rank)
-{
-  int gpeer = ShmRanks[rank];
-  if (gpeer == MPI_UNDEFINED){
-    return NULL;
-  } else { 
-    return ShmCommBufs[gpeer];
-  }
-}
-void *SharedMemory::ShmBufferTranslate(int rank,void * local_p)
-{
-  int gpeer = ShmRanks[rank];
-  assert(gpeer!=ShmRank); // never send to self
-  if (gpeer == MPI_UNDEFINED){
-    return NULL;
-  } else { 
-    uint64_t offset = (uint64_t)local_p - (uint64_t)ShmCommBufs[ShmRank];
-    uint64_t remote = (uint64_t)ShmCommBufs[gpeer]+offset;
-    return (void *) remote;
-  }
-}
-SharedMemory::~SharedMemory()
-{
-  int MPI_is_finalised;  MPI_Finalized(&MPI_is_finalised);
-  if ( !MPI_is_finalised ) { 
-    MPI_Comm_free(&ShmComm);
-  }
-};
-
-NAMESPACE_END(Grid); 
-

Grid/communicator/SharedMemoryNone.cc

@@ -1,129 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/communicator/SharedMemory.cc
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-
-#include <Grid/GridCore.h>
-
-NAMESPACE_BEGIN(Grid); 
-
-/*Construct from an MPI communicator*/
-void GlobalSharedMemory::Init(Grid_MPI_Comm comm)
-{
-  assert(_ShmSetup==0);
-  WorldComm = 0;
-  WorldRank = 0;
-  WorldSize = 1;
-  WorldShmComm = 0 ;
-  WorldShmRank = 0 ;
-  WorldShmSize = 1 ;
-  WorldNodes   = 1 ;
-  WorldNode    = 0 ;
-  WorldShmRanks.resize(WorldSize); WorldShmRanks[0] = 0;
-  WorldShmCommBufs.resize(1);
-  _ShmSetup=1;
-}
-
-void GlobalSharedMemory::OptimalCommunicator(const Coordinate &processors,Grid_MPI_Comm & optimal_comm)
-{
-  optimal_comm = WorldComm;
-}
-
-////////////////////////////////////////////////////////////////////////////////////////////
-// Hugetlbfs mapping intended, use anonymous mmap
-////////////////////////////////////////////////////////////////////////////////////////////
-void GlobalSharedMemory::SharedMemoryAllocate(uint64_t bytes, int flags)
-{
-  void * ShmCommBuf ; 
-  assert(_ShmSetup==1);
-  assert(_ShmAlloc==0);
-  int mmap_flag =0;
-#ifdef MAP_ANONYMOUS
-  mmap_flag = mmap_flag| MAP_SHARED | MAP_ANONYMOUS;
-#endif
-#ifdef MAP_ANON
-  mmap_flag = mmap_flag| MAP_SHARED | MAP_ANON;
-#endif
-#ifdef MAP_HUGETLB
-  if ( flags ) mmap_flag |= MAP_HUGETLB;
-#endif
-  ShmCommBuf =(void *) mmap(NULL, bytes, PROT_READ | PROT_WRITE, mmap_flag, -1, 0); 
-  if (ShmCommBuf == (void *)MAP_FAILED) {
-    perror("mmap failed ");
-    exit(EXIT_FAILURE);  
-  }
-#ifdef MADV_HUGEPAGE
-  if (!Hugepages ) madvise(ShmCommBuf,bytes,MADV_HUGEPAGE);
-#endif
-  bzero(ShmCommBuf,bytes);
-  WorldShmCommBufs[0] = ShmCommBuf;
-  _ShmAllocBytes=bytes;
-  _ShmAlloc=1;
-};
-
-////////////////////////////////////////////////////////
-// Global shared functionality finished
-// Now move to per communicator functionality
-////////////////////////////////////////////////////////
-void SharedMemory::SetCommunicator(Grid_MPI_Comm comm)
-{
-  assert(GlobalSharedMemory::ShmAlloc()==1);
-  ShmRanks.resize(1);
-  ShmCommBufs.resize(1);
-  ShmRanks[0] = 0;
-  ShmRank     = 0;
-  ShmSize     = 1;
-  //////////////////////////////////////////////////////////////////////
-  // Map ShmRank to WorldShmRank and use the right buffer
-  //////////////////////////////////////////////////////////////////////
-  ShmCommBufs[0] = GlobalSharedMemory::WorldShmCommBufs[0];
-  heap_size      = GlobalSharedMemory::ShmAllocBytes();
-  ShmBufferFreeAll();
-  return;
-}
-//////////////////////////////////////////////////////////////////
-// On node barrier
-//////////////////////////////////////////////////////////////////
-void SharedMemory::ShmBarrier(void){ return ; }
-
-//////////////////////////////////////////////////////////////////////////////////////////////////////////
-// Test the shared memory is working
-//////////////////////////////////////////////////////////////////////////////////////////////////////////
-void SharedMemory::SharedMemoryTest(void) { return; }
-
-void *SharedMemory::ShmBuffer(int rank)
-{
-  return NULL;
-}
-void *SharedMemory::ShmBufferTranslate(int rank,void * local_p)
-{
-  return NULL;
-}
-SharedMemory::~SharedMemory()
-{};
-
-NAMESPACE_END(Grid); 
-

Grid/cshift/Cshift.h

@@ -1,62 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/Cshift.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef _GRID_CSHIFT_H_
-#define _GRID_CSHIFT_H_
-
-#include <Grid/cshift/Cshift_common.h>
-
-#ifdef GRID_COMMS_NONE
-#include <Grid/cshift/Cshift_none.h>
-#endif
-
-#ifdef GRID_COMMS_MPI
-#include <Grid/cshift/Cshift_mpi.h>
-#endif 
-
-#ifdef GRID_COMMS_MPI3
-#include <Grid/cshift/Cshift_mpi.h>
-#endif 
-
-#ifdef GRID_COMMS_MPIT
-#include <Grid/cshift/Cshift_mpi.h>
-#endif 
-
-#ifdef GRID_COMMS_SHMEM
-#include <Grid/cshift/Cshift_mpi.h> // uses same implementation of communicator
-#endif 
-
-NAMESPACE_BEGIN(Grid);
-
-template<class Expression,typename std::enable_if<is_lattice_expr<Expression>::value,void>::type * = nullptr> 
-auto Cshift(const Expression &expr,int dim,int shift)  -> decltype(closure(expr)) 
-{
-  return Cshift(closure(expr),dim,shift);
-}
-NAMESPACE_END(Grid);
-
-#endif

Grid/cshift/Cshift_common.h

@@ -1,490 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/cshift/Cshift_common.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-    *************************************************************************************/
-    /*  END LEGAL */
-#pragma once
-
-NAMESPACE_BEGIN(Grid);
-
-extern Vector<std::pair<int,int> > Cshift_table; 
-
-///////////////////////////////////////////////////////////////////
-// Gather for when there is no need to SIMD split 
-///////////////////////////////////////////////////////////////////
-template<class vobj> void 
-Gather_plane_simple (const Lattice<vobj> &rhs,cshiftVector<vobj> &buffer,int dimension,int plane,int cbmask, int off=0)
-{
-  int rd = rhs.Grid()->_rdimensions[dimension];
-
-  if ( !rhs.Grid()->CheckerBoarded(dimension) ) {
-    cbmask = 0x3;
-  }
-  
-  int so=plane*rhs.Grid()->_ostride[dimension]; // base offset for start of plane 
-  int e1=rhs.Grid()->_slice_nblock[dimension];
-  int e2=rhs.Grid()->_slice_block[dimension];
-  int ent = 0;
-
-  if(Cshift_table.size()<e1*e2) Cshift_table.resize(e1*e2); // Let it grow to biggest
-
-  int stride=rhs.Grid()->_slice_stride[dimension];
-
-  if ( cbmask == 0x3 ) { 
-    for(int n=0;n<e1;n++){
-      for(int b=0;b<e2;b++){
-	int o  = n*stride;
-	int bo = n*e2;
-	Cshift_table[ent++] = std::pair<int,int>(off+bo+b,so+o+b);
-      }
-    }
-  } else { 
-     int bo=0;
-     for(int n=0;n<e1;n++){
-       for(int b=0;b<e2;b++){
-	 int o  = n*stride;
-	 int ocb=1<<rhs.Grid()->CheckerBoardFromOindex(o+b);
-	 if ( ocb &cbmask ) {
-	   Cshift_table[ent++]=std::pair<int,int> (off+bo++,so+o+b);
-	 }
-       }
-     }
-  }
-  {
-    auto buffer_p = & buffer[0];
-    auto table = &Cshift_table[0];
-#ifdef ACCELERATOR_CSHIFT    
-    autoView(rhs_v , rhs, AcceleratorRead);
-    accelerator_for(i,ent,vobj::Nsimd(),{
-	coalescedWrite(buffer_p[table[i].first],coalescedRead(rhs_v[table[i].second]));
-    });
-#else
-    autoView(rhs_v , rhs, CpuRead);
-    thread_for(i,ent,{
-      buffer_p[table[i].first]=rhs_v[table[i].second];
-    });
-#endif
-  }
-}
-
-///////////////////////////////////////////////////////////////////
-// Gather for when there *is* need to SIMD split 
-///////////////////////////////////////////////////////////////////
-template<class vobj> void 
-Gather_plane_extract(const Lattice<vobj> &rhs,
-		     ExtractPointerArray<typename vobj::scalar_object> pointers,
-		     int dimension,int plane,int cbmask)
-{
-  int rd = rhs.Grid()->_rdimensions[dimension];
-
-  if ( !rhs.Grid()->CheckerBoarded(dimension) ) {
-    cbmask = 0x3;
-  }
-
-  int so  = plane*rhs.Grid()->_ostride[dimension]; // base offset for start of plane 
-
-  int e1=rhs.Grid()->_slice_nblock[dimension];
-  int e2=rhs.Grid()->_slice_block[dimension];
-  int n1=rhs.Grid()->_slice_stride[dimension];
-
-  if ( cbmask ==0x3){
-#ifdef ACCELERATOR_CSHIFT    
-    autoView(rhs_v , rhs, AcceleratorRead);
-    accelerator_for2d(n,e1,b,e2,1,{
-	int o      =   n*n1;
-	int offset = b+n*e2;
-	
-	vobj temp =rhs_v[so+o+b];
-	extract<vobj>(temp,pointers,offset);
-      });
-#else
-    autoView(rhs_v , rhs, CpuRead);
-    thread_for2d(n,e1,b,e2,{
-	int o      =   n*n1;
-	int offset = b+n*e2;
-	
-	vobj temp =rhs_v[so+o+b];
-	extract<vobj>(temp,pointers,offset);
-      });
-#endif
-  } else { 
-    Coordinate rdim=rhs.Grid()->_rdimensions;
-    Coordinate cdm =rhs.Grid()->_checker_dim_mask;
-    std::cout << " Dense packed buffer WARNING " <<std::endl; // Does this get called twice once for each cb?
-#ifdef ACCELERATOR_CSHIFT    
-    autoView(rhs_v , rhs, AcceleratorRead);
-    accelerator_for2d(n,e1,b,e2,1,{
-
-	Coordinate coor;
-
-	int o=n*n1;
-	int oindex = o+b;
-
-       	int cb = RedBlackCheckerBoardFromOindex(oindex, rdim, cdm);
-
-	int ocb=1<<cb;
-	int offset = b+n*e2;
-
-	if ( ocb & cbmask ) {
-	  vobj temp =rhs_v[so+o+b];
-	  extract<vobj>(temp,pointers,offset);
-	}
-      });
-#else
-    autoView(rhs_v , rhs, CpuRead);
-    thread_for2d(n,e1,b,e2,{
-
-	Coordinate coor;
-
-	int o=n*n1;
-	int oindex = o+b;
-
-       	int cb = RedBlackCheckerBoardFromOindex(oindex, rdim, cdm);
-
-	int ocb=1<<cb;
-	int offset = b+n*e2;
-
-	if ( ocb & cbmask ) {
-	  vobj temp =rhs_v[so+o+b];
-	  extract<vobj>(temp,pointers,offset);
-	}
-      });
-#endif
-  }
-}
-
-//////////////////////////////////////////////////////
-// Scatter for when there is no need to SIMD split
-//////////////////////////////////////////////////////
-template<class vobj> void Scatter_plane_simple (Lattice<vobj> &rhs,cshiftVector<vobj> &buffer, int dimension,int plane,int cbmask)
-{
-  int rd = rhs.Grid()->_rdimensions[dimension];
-
-  if ( !rhs.Grid()->CheckerBoarded(dimension) ) {
-    cbmask=0x3;
-  }
-
-  int so  = plane*rhs.Grid()->_ostride[dimension]; // base offset for start of plane 
-    
-  int e1=rhs.Grid()->_slice_nblock[dimension];
-  int e2=rhs.Grid()->_slice_block[dimension];
-  int stride=rhs.Grid()->_slice_stride[dimension];
-
-  if(Cshift_table.size()<e1*e2) Cshift_table.resize(e1*e2); // Let it grow to biggest
-
-  int ent    =0;
-
-  if ( cbmask ==0x3 ) {
-
-    for(int n=0;n<e1;n++){
-      for(int b=0;b<e2;b++){
-	int o   =n*rhs.Grid()->_slice_stride[dimension];
-	int bo  =n*rhs.Grid()->_slice_block[dimension];
-	Cshift_table[ent++] = std::pair<int,int>(so+o+b,bo+b);
-      }
-    }
-
-  } else { 
-    int bo=0;
-    for(int n=0;n<e1;n++){
-      for(int b=0;b<e2;b++){
-	int o   =n*rhs.Grid()->_slice_stride[dimension];
-	int ocb=1<<rhs.Grid()->CheckerBoardFromOindex(o+b);// Could easily be a table lookup
-	if ( ocb & cbmask ) {
-	  Cshift_table[ent++]=std::pair<int,int> (so+o+b,bo++);
-	}
-      }
-    }
-  }
-  
-  {
-    auto buffer_p = & buffer[0];
-    auto table = &Cshift_table[0];
-#ifdef ACCELERATOR_CSHIFT    
-    autoView( rhs_v, rhs, AcceleratorWrite);
-    accelerator_for(i,ent,vobj::Nsimd(),{
-	coalescedWrite(rhs_v[table[i].first],coalescedRead(buffer_p[table[i].second]));
-    });
-#else
-    autoView( rhs_v, rhs, CpuWrite);
-    thread_for(i,ent,{
-      rhs_v[table[i].first]=buffer_p[table[i].second];
-    });
-#endif
-  }
-}
-
-//////////////////////////////////////////////////////
-// Scatter for when there *is* need to SIMD split
-//////////////////////////////////////////////////////
-template<class vobj> void Scatter_plane_merge(Lattice<vobj> &rhs,ExtractPointerArray<typename vobj::scalar_object> pointers,int dimension,int plane,int cbmask)
-{
-  int rd = rhs.Grid()->_rdimensions[dimension];
-
-  if ( !rhs.Grid()->CheckerBoarded(dimension) ) {
-    cbmask=0x3;
-  }
-
-  int so  = plane*rhs.Grid()->_ostride[dimension]; // base offset for start of plane 
-    
-  int e1=rhs.Grid()->_slice_nblock[dimension];
-  int e2=rhs.Grid()->_slice_block[dimension];
-
-  if(cbmask ==0x3 ) {
-    int _slice_stride = rhs.Grid()->_slice_stride[dimension];
-    int _slice_block = rhs.Grid()->_slice_block[dimension];
-#ifdef ACCELERATOR_CSHIFT    
-    autoView( rhs_v , rhs, AcceleratorWrite);
-    accelerator_for2d(n,e1,b,e2,1,{
-	int o      = n*_slice_stride;
-	int offset = b+n*_slice_block;
-	merge(rhs_v[so+o+b],pointers,offset);
-      });
-#else
-    autoView( rhs_v , rhs, CpuWrite);
-    thread_for2d(n,e1,b,e2,{
-	int o      = n*_slice_stride;
-	int offset = b+n*_slice_block;
-	merge(rhs_v[so+o+b],pointers,offset);
-    });
-#endif
-  } else { 
-
-    // Case of SIMD split AND checker dim cannot currently be hit, except in 
-    // Test_cshift_red_black code.
-    //    std::cout << "Scatter_plane merge assert(0); think this is buggy FIXME "<< std::endl;// think this is buggy FIXME
-    std::cout<<" Unthreaded warning -- buffer is not densely packed ??"<<std::endl;
-    assert(0); // This will fail if hit on GPU
-    autoView( rhs_v, rhs, CpuWrite);
-    for(int n=0;n<e1;n++){
-      for(int b=0;b<e2;b++){
-	int o      = n*rhs.Grid()->_slice_stride[dimension];
-	int offset = b+n*rhs.Grid()->_slice_block[dimension];
-	int ocb=1<<rhs.Grid()->CheckerBoardFromOindex(o+b);
-	if ( ocb&cbmask ) {
-	  merge(rhs_v[so+o+b],pointers,offset);
-	}
-      }
-    }
-  }
-}
-
-//////////////////////////////////////////////////////
-// local to node block strided copies
-//////////////////////////////////////////////////////
-
-template<class vobj> void Copy_plane(Lattice<vobj>& lhs,const Lattice<vobj> &rhs, int dimension,int lplane,int rplane,int cbmask)
-{
-  int rd = rhs.Grid()->_rdimensions[dimension];
-
-  if ( !rhs.Grid()->CheckerBoarded(dimension) ) {
-    cbmask=0x3;
-  }
-
-  int ro  = rplane*rhs.Grid()->_ostride[dimension]; // base offset for start of plane 
-  int lo  = lplane*lhs.Grid()->_ostride[dimension]; // base offset for start of plane 
-
-  int e1=rhs.Grid()->_slice_nblock[dimension]; // clearly loop invariant for icpc
-  int e2=rhs.Grid()->_slice_block[dimension];
-  int stride = rhs.Grid()->_slice_stride[dimension];
-
-  if(Cshift_table.size()<e1*e2) Cshift_table.resize(e1*e2); // Let it grow to biggest
-
-  int ent=0;
-
-  if(cbmask == 0x3 ){
-    for(int n=0;n<e1;n++){
-      for(int b=0;b<e2;b++){
-        int o =n*stride+b;
-	Cshift_table[ent++] = std::pair<int,int>(lo+o,ro+o);
-      }
-    }
-  } else { 
-    for(int n=0;n<e1;n++){
-      for(int b=0;b<e2;b++){
-        int o =n*stride+b;
-        int ocb=1<<lhs.Grid()->CheckerBoardFromOindex(o);
-        if ( ocb&cbmask ) {
-	  Cshift_table[ent++] = std::pair<int,int>(lo+o,ro+o);
-	}
-      }
-    }
-  }
-
-  {
-    auto table = &Cshift_table[0];
-#ifdef ACCELERATOR_CSHIFT    
-    autoView(rhs_v , rhs, AcceleratorRead);
-    autoView(lhs_v , lhs, AcceleratorWrite);
-    accelerator_for(i,ent,vobj::Nsimd(),{
-      coalescedWrite(lhs_v[table[i].first],coalescedRead(rhs_v[table[i].second]));
-    });
-#else
-    autoView(rhs_v , rhs, CpuRead);
-    autoView(lhs_v , lhs, CpuWrite);
-    thread_for(i,ent,{
-      lhs_v[table[i].first]=rhs_v[table[i].second];
-    });
-#endif
-  }
-}
-
-template<class vobj> void Copy_plane_permute(Lattice<vobj>& lhs,const Lattice<vobj> &rhs, int dimension,int lplane,int rplane,int cbmask,int permute_type)
-{
-  int rd = rhs.Grid()->_rdimensions[dimension];
-
-  if ( !rhs.Grid()->CheckerBoarded(dimension) ) {
-    cbmask=0x3;
-  }
-
-  int ro  = rplane*rhs.Grid()->_ostride[dimension]; // base offset for start of plane 
-  int lo  = lplane*lhs.Grid()->_ostride[dimension]; // base offset for start of plane 
-
-  int e1=rhs.Grid()->_slice_nblock[dimension];
-  int e2=rhs.Grid()->_slice_block [dimension];
-  int stride = rhs.Grid()->_slice_stride[dimension];
-
-  if(Cshift_table.size()<e1*e2) Cshift_table.resize(e1*e2); // Let it grow to biggest
-
-  int ent=0;
-
-  if ( cbmask == 0x3 ) {
-    for(int n=0;n<e1;n++){
-    for(int b=0;b<e2;b++){
-      int o  =n*stride;
-      Cshift_table[ent++] = std::pair<int,int>(lo+o+b,ro+o+b);
-    }}
-  } else {
-    for(int n=0;n<e1;n++){
-    for(int b=0;b<e2;b++){
-      int o  =n*stride;
-      int ocb=1<<lhs.Grid()->CheckerBoardFromOindex(o+b);
-      if ( ocb&cbmask ) Cshift_table[ent++] = std::pair<int,int>(lo+o+b,ro+o+b);
-    }}
-  }
-
-  {
-    auto table = &Cshift_table[0];
-#ifdef ACCELERATOR_CSHIFT    
-    autoView( rhs_v, rhs, AcceleratorRead);
-    autoView( lhs_v, lhs, AcceleratorWrite);
-    accelerator_for(i,ent,1,{
-      permute(lhs_v[table[i].first],rhs_v[table[i].second],permute_type);
-    });
-#else
-    autoView( rhs_v, rhs, CpuRead);
-    autoView( lhs_v, lhs, CpuWrite);
-    thread_for(i,ent,{
-      permute(lhs_v[table[i].first],rhs_v[table[i].second],permute_type);
-    });
-#endif
-  }
-}
-
-//////////////////////////////////////////////////////
-// Local to node Cshift
-//////////////////////////////////////////////////////
-template<class vobj> void Cshift_local(Lattice<vobj>& ret,const Lattice<vobj> &rhs,int dimension,int shift)
-{
-  int sshift[2];
-
-  sshift[0] = rhs.Grid()->CheckerBoardShiftForCB(rhs.Checkerboard(),dimension,shift,Even);
-  sshift[1] = rhs.Grid()->CheckerBoardShiftForCB(rhs.Checkerboard(),dimension,shift,Odd);
-
-  if ( sshift[0] == sshift[1] ) {
-    Cshift_local(ret,rhs,dimension,shift,0x3);
-  } else {
-    Cshift_local(ret,rhs,dimension,shift,0x1);// if checkerboard is unfavourable take two passes
-    Cshift_local(ret,rhs,dimension,shift,0x2);// both with block stride loop iteration
-  }
-}
-
-template<class vobj> void Cshift_local(Lattice<vobj> &ret,const Lattice<vobj> &rhs,int dimension,int shift,int cbmask)
-{
-  GridBase *grid = rhs.Grid();
-  int fd = grid->_fdimensions[dimension];
-  int rd = grid->_rdimensions[dimension];
-  int ld = grid->_ldimensions[dimension];
-  int gd = grid->_gdimensions[dimension];
-  int ly = grid->_simd_layout[dimension];
-
-  // Map to always positive shift modulo global full dimension.
-  shift = (shift+fd)%fd;
-
-  // the permute type
-  ret.Checkerboard() = grid->CheckerBoardDestination(rhs.Checkerboard(),shift,dimension);
-  int permute_dim =grid->PermuteDim(dimension);
-  int permute_type=grid->PermuteType(dimension);
-  int permute_type_dist;
-
-  for(int x=0;x<rd;x++){       
-
-    //    int o   = 0;
-    int bo  = x * grid->_ostride[dimension];
-    int cb= (cbmask==0x2)? Odd : Even;
-
-    int sshift = grid->CheckerBoardShiftForCB(rhs.Checkerboard(),dimension,shift,cb);
-    int sx     = (x+sshift)%rd;
-    
-    // wrap is whether sshift > rd.
-    //  num is sshift mod rd.
-    // 
-    //  shift 7
-    //
-    //  XoXo YcYc 
-    //  oXoX cYcY
-    //  XoXo YcYc
-    //  oXoX cYcY
-    //
-    //  sshift -- 
-    //
-    //  XX YY ; 3
-    //  XX YY ; 0
-    //  XX YY ; 3
-    //  XX YY ; 0
-    //
-    int permute_slice=0;
-    if(permute_dim){
-      int wrap = sshift/rd; wrap=wrap % ly;
-      int  num = sshift%rd;
-
-      if ( x< rd-num ) permute_slice=wrap;
-      else permute_slice = (wrap+1)%ly;
-
-      if ( (ly>2) && (permute_slice) ) {
-	assert(permute_type & RotateBit);
-	permute_type_dist = permute_type|permute_slice;
-      } else {
-	permute_type_dist = permute_type;
-      }
-    }
-
-    if ( permute_slice ) Copy_plane_permute(ret,rhs,dimension,x,sx,cbmask,permute_type_dist);
-    else                 Copy_plane(ret,rhs,dimension,x,sx,cbmask); 
-  
-  }
-}
-NAMESPACE_END(Grid);
-

Grid/cshift/Cshift_mpi.h

@@ -1,467 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/cshift/Cshift_mpi.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-Author: paboyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef _GRID_CSHIFT_MPI_H_
-#define _GRID_CSHIFT_MPI_H_
-
-
-NAMESPACE_BEGIN(Grid); 
-
-template<class vobj> Lattice<vobj> Cshift(const Lattice<vobj> &rhs,int dimension,int shift)
-{
-  typedef typename vobj::vector_type vector_type;
-  typedef typename vobj::scalar_type scalar_type;
-
-  Lattice<vobj> ret(rhs.Grid()); 
-  
-  int fd = rhs.Grid()->_fdimensions[dimension];
-  int rd = rhs.Grid()->_rdimensions[dimension];
-
-  // Map to always positive shift modulo global full dimension.
-  shift = (shift+fd)%fd;
-
-  ret.Checkerboard() = rhs.Grid()->CheckerBoardDestination(rhs.Checkerboard(),shift,dimension);
-        
-  // the permute type
-  int simd_layout     = rhs.Grid()->_simd_layout[dimension];
-  int comm_dim        = rhs.Grid()->_processors[dimension] >1 ;
-  int splice_dim      = rhs.Grid()->_simd_layout[dimension]>1 && (comm_dim);
-
-
-  if ( !comm_dim ) {
-    //std::cout << "CSHIFT: Cshift_local" <<std::endl;
-    Cshift_local(ret,rhs,dimension,shift); // Handles checkerboarding
-  } else if ( splice_dim ) {
-    //std::cout << "CSHIFT: Cshift_comms_simd call - splice_dim = " << splice_dim << " shift " << shift << " dimension = " << dimension << std::endl;
-    Cshift_comms_simd(ret,rhs,dimension,shift);
-  } else {
-    //std::cout << "CSHIFT: Cshift_comms" <<std::endl;
-    Cshift_comms(ret,rhs,dimension,shift);
-  }
-  return ret;
-}
-
-template<class vobj> void Cshift_comms(Lattice<vobj>& ret,const Lattice<vobj> &rhs,int dimension,int shift)
-{
-  int sshift[2];
-
-  sshift[0] = rhs.Grid()->CheckerBoardShiftForCB(rhs.Checkerboard(),dimension,shift,Even);
-  sshift[1] = rhs.Grid()->CheckerBoardShiftForCB(rhs.Checkerboard(),dimension,shift,Odd);
-
-  //  std::cout << "Cshift_comms dim "<<dimension<<"cb "<<rhs.Checkerboard()<<"shift "<<shift<<" sshift " << sshift[0]<<" "<<sshift[1]<<std::endl;
-  if ( sshift[0] == sshift[1] ) {
-    //    std::cout << "Single pass Cshift_comms" <<std::endl;
-    Cshift_comms(ret,rhs,dimension,shift,0x3);
-  } else {
-    //    std::cout << "Two pass Cshift_comms" <<std::endl;
-    Cshift_comms(ret,rhs,dimension,shift,0x1);// if checkerboard is unfavourable take two passes
-    Cshift_comms(ret,rhs,dimension,shift,0x2);// both with block stride loop iteration
-  }
-}
-
-template<class vobj> void Cshift_comms_simd(Lattice<vobj>& ret,const Lattice<vobj> &rhs,int dimension,int shift)
-{
-  int sshift[2];
-
-  sshift[0] = rhs.Grid()->CheckerBoardShiftForCB(rhs.Checkerboard(),dimension,shift,Even);
-  sshift[1] = rhs.Grid()->CheckerBoardShiftForCB(rhs.Checkerboard(),dimension,shift,Odd);
-
-  //std::cout << "Cshift_comms_simd dim "<<dimension<<"cb "<<rhs.checkerboard<<"shift "<<shift<<" sshift " << sshift[0]<<" "<<sshift[1]<<std::endl;
-  if ( sshift[0] == sshift[1] ) {
-    //std::cout << "Single pass Cshift_comms" <<std::endl;
-    Cshift_comms_simd(ret,rhs,dimension,shift,0x3);
-  } else {
-    //std::cout << "Two pass Cshift_comms" <<std::endl;
-    Cshift_comms_simd(ret,rhs,dimension,shift,0x1);// if checkerboard is unfavourable take two passes
-    Cshift_comms_simd(ret,rhs,dimension,shift,0x2);// both with block stride loop iteration
-  }
-}
-#define ACCELERATOR_CSHIFT_NO_COPY
-#ifdef ACCELERATOR_CSHIFT_NO_COPY
-template<class vobj> void Cshift_comms(Lattice<vobj> &ret,const Lattice<vobj> &rhs,int dimension,int shift,int cbmask)
-{
-  typedef typename vobj::vector_type vector_type;
-  typedef typename vobj::scalar_type scalar_type;
-
-  GridBase *grid=rhs.Grid();
-  Lattice<vobj> temp(rhs.Grid());
-
-  int fd              = rhs.Grid()->_fdimensions[dimension];
-  int rd              = rhs.Grid()->_rdimensions[dimension];
-  int pd              = rhs.Grid()->_processors[dimension];
-  int simd_layout     = rhs.Grid()->_simd_layout[dimension];
-  int comm_dim        = rhs.Grid()->_processors[dimension] >1 ;
-  assert(simd_layout==1);
-  assert(comm_dim==1);
-  assert(shift>=0);
-  assert(shift<fd);
-  
-  int buffer_size = rhs.Grid()->_slice_nblock[dimension]*rhs.Grid()->_slice_block[dimension];
-  cshiftVector<vobj> send_buf(buffer_size);
-  cshiftVector<vobj> recv_buf(buffer_size);
-    
-  int cb= (cbmask==0x2)? Odd : Even;
-  int sshift= rhs.Grid()->CheckerBoardShiftForCB(rhs.Checkerboard(),dimension,shift,cb);
-
-  for(int x=0;x<rd;x++){       
-
-    int sx        =  (x+sshift)%rd;
-    int comm_proc = ((x+sshift)/rd)%pd;
-    
-    if (comm_proc==0) {
-
-      Copy_plane(ret,rhs,dimension,x,sx,cbmask); 
-
-    } else {
-
-      int words = buffer_size;
-      if (cbmask != 0x3) words=words>>1;
-
-      int bytes = words * sizeof(vobj);
-
-      Gather_plane_simple (rhs,send_buf,dimension,sx,cbmask);
-
-      //      int rank           = grid->_processor;
-      int recv_from_rank;
-      int xmit_to_rank;
-      grid->ShiftedRanks(dimension,comm_proc,xmit_to_rank,recv_from_rank);
-
-      grid->Barrier();
-
-      grid->SendToRecvFrom((void *)&send_buf[0],
-			   xmit_to_rank,
-			   (void *)&recv_buf[0],
-			   recv_from_rank,
-			   bytes);
-
-      grid->Barrier();
-
-      Scatter_plane_simple (ret,recv_buf,dimension,x,cbmask);
-    }
-  }
-}
-
-template<class vobj> void  Cshift_comms_simd(Lattice<vobj> &ret,const Lattice<vobj> &rhs,int dimension,int shift,int cbmask)
-{
-  GridBase *grid=rhs.Grid();
-  const int Nsimd = grid->Nsimd();
-  typedef typename vobj::vector_type vector_type;
-  typedef typename vobj::scalar_object scalar_object;
-  typedef typename vobj::scalar_type scalar_type;
-   
-  int fd = grid->_fdimensions[dimension];
-  int rd = grid->_rdimensions[dimension];
-  int ld = grid->_ldimensions[dimension];
-  int pd = grid->_processors[dimension];
-  int simd_layout     = grid->_simd_layout[dimension];
-  int comm_dim        = grid->_processors[dimension] >1 ;
-
-  //std::cout << "Cshift_comms_simd dim "<< dimension << " fd "<<fd<<" rd "<<rd
-  //    << " ld "<<ld<<" pd " << pd<<" simd_layout "<<simd_layout 
-  //    << " comm_dim " << comm_dim << " cbmask " << cbmask <<std::endl;
-
-  assert(comm_dim==1);
-  assert(simd_layout==2);
-  assert(shift>=0);
-  assert(shift<fd);
-
-  int permute_type=grid->PermuteType(dimension);
-
-  ///////////////////////////////////////////////
-  // Simd direction uses an extract/merge pair
-  ///////////////////////////////////////////////
-  int buffer_size = grid->_slice_nblock[dimension]*grid->_slice_block[dimension];
-  //  int words = sizeof(vobj)/sizeof(vector_type);
-
-  std::vector<cshiftVector<scalar_object> >  send_buf_extract(Nsimd);
-  std::vector<cshiftVector<scalar_object> >  recv_buf_extract(Nsimd);
-  scalar_object *  recv_buf_extract_mpi;
-  scalar_object *  send_buf_extract_mpi;
- 
-  for(int s=0;s<Nsimd;s++){
-    send_buf_extract[s].resize(buffer_size);
-    recv_buf_extract[s].resize(buffer_size);
-  }
-
-  int bytes = buffer_size*sizeof(scalar_object);
-
-  ExtractPointerArray<scalar_object>  pointers(Nsimd); // 
-  ExtractPointerArray<scalar_object> rpointers(Nsimd); // received pointers
-
-  ///////////////////////////////////////////
-  // Work out what to send where
-  ///////////////////////////////////////////
-  int cb    = (cbmask==0x2)? Odd : Even;
-  int sshift= grid->CheckerBoardShiftForCB(rhs.Checkerboard(),dimension,shift,cb);
-
-  // loop over outer coord planes orthog to dim
-  for(int x=0;x<rd;x++){       
-
-    // FIXME call local permute copy if none are offnode.
-    for(int i=0;i<Nsimd;i++){       
-      pointers[i] = &send_buf_extract[i][0];
-    }
-    int sx   = (x+sshift)%rd;
-    Gather_plane_extract(rhs,pointers,dimension,sx,cbmask);
-
-    for(int i=0;i<Nsimd;i++){
-      
-      int inner_bit = (Nsimd>>(permute_type+1));
-      int ic= (i&inner_bit)? 1:0;
-
-      int my_coor          = rd*ic + x;
-      int nbr_coor         = my_coor+sshift;
-      int nbr_proc = ((nbr_coor)/ld) % pd;// relative shift in processors
-
-      int nbr_ic   = (nbr_coor%ld)/rd;    // inner coord of peer
-      int nbr_ox   = (nbr_coor%rd);       // outer coord of peer
-      int nbr_lane = (i&(~inner_bit));
-
-      int recv_from_rank;
-      int xmit_to_rank;
-
-      if (nbr_ic) nbr_lane|=inner_bit;
-
-      assert (sx == nbr_ox);
-
-      if(nbr_proc){
-	grid->ShiftedRanks(dimension,nbr_proc,xmit_to_rank,recv_from_rank); 
-
-	grid->Barrier();
-
-	send_buf_extract_mpi = &send_buf_extract[nbr_lane][0];
-	recv_buf_extract_mpi = &recv_buf_extract[i][0];
-	grid->SendToRecvFrom((void *)send_buf_extract_mpi,
-			     xmit_to_rank,
-			     (void *)recv_buf_extract_mpi,
-			     recv_from_rank,
-			     bytes);
-
-	grid->Barrier();
-
-	rpointers[i] = &recv_buf_extract[i][0];
-      } else { 
-	rpointers[i] = &send_buf_extract[nbr_lane][0];
-      }
-
-    }
-    Scatter_plane_merge(ret,rpointers,dimension,x,cbmask);
-  }
-
-}
-#else 
-template<class vobj> void Cshift_comms(Lattice<vobj> &ret,const Lattice<vobj> &rhs,int dimension,int shift,int cbmask)
-{
-  typedef typename vobj::vector_type vector_type;
-  typedef typename vobj::scalar_type scalar_type;
-
-  GridBase *grid=rhs.Grid();
-  Lattice<vobj> temp(rhs.Grid());
-
-  int fd              = rhs.Grid()->_fdimensions[dimension];
-  int rd              = rhs.Grid()->_rdimensions[dimension];
-  int pd              = rhs.Grid()->_processors[dimension];
-  int simd_layout     = rhs.Grid()->_simd_layout[dimension];
-  int comm_dim        = rhs.Grid()->_processors[dimension] >1 ;
-  assert(simd_layout==1);
-  assert(comm_dim==1);
-  assert(shift>=0);
-  assert(shift<fd);
-  
-  int buffer_size = rhs.Grid()->_slice_nblock[dimension]*rhs.Grid()->_slice_block[dimension];
-  cshiftVector<vobj> send_buf_v(buffer_size);
-  cshiftVector<vobj> recv_buf_v(buffer_size);
-  vobj *send_buf;
-  vobj *recv_buf;
-  {
-    grid->ShmBufferFreeAll();
-    size_t bytes = buffer_size*sizeof(vobj);
-    send_buf=(vobj *)grid->ShmBufferMalloc(bytes);
-    recv_buf=(vobj *)grid->ShmBufferMalloc(bytes);
-  }
-    
-  int cb= (cbmask==0x2)? Odd : Even;
-  int sshift= rhs.Grid()->CheckerBoardShiftForCB(rhs.Checkerboard(),dimension,shift,cb);
-
-  for(int x=0;x<rd;x++){       
-
-    int sx        =  (x+sshift)%rd;
-    int comm_proc = ((x+sshift)/rd)%pd;
-    
-    if (comm_proc==0) {
-
-      Copy_plane(ret,rhs,dimension,x,sx,cbmask); 
-
-    } else {
-
-      int words = buffer_size;
-      if (cbmask != 0x3) words=words>>1;
-
-      int bytes = words * sizeof(vobj);
-
-      Gather_plane_simple (rhs,send_buf_v,dimension,sx,cbmask);
-
-      //      int rank           = grid->_processor;
-      int recv_from_rank;
-      int xmit_to_rank;
-      grid->ShiftedRanks(dimension,comm_proc,xmit_to_rank,recv_from_rank);
-
-
-      grid->Barrier();
-
-      acceleratorCopyDeviceToDevice((void *)&send_buf_v[0],(void *)&send_buf[0],bytes);
-      grid->SendToRecvFrom((void *)&send_buf[0],
-			   xmit_to_rank,
-			   (void *)&recv_buf[0],
-			   recv_from_rank,
-			   bytes);
-      acceleratorCopyDeviceToDevice((void *)&recv_buf[0],(void *)&recv_buf_v[0],bytes);
-
-      grid->Barrier();
-
-      Scatter_plane_simple (ret,recv_buf_v,dimension,x,cbmask);
-    }
-  }
-}
-
-template<class vobj> void  Cshift_comms_simd(Lattice<vobj> &ret,const Lattice<vobj> &rhs,int dimension,int shift,int cbmask)
-{
-  GridBase *grid=rhs.Grid();
-  const int Nsimd = grid->Nsimd();
-  typedef typename vobj::vector_type vector_type;
-  typedef typename vobj::scalar_object scalar_object;
-  typedef typename vobj::scalar_type scalar_type;
-   
-  int fd = grid->_fdimensions[dimension];
-  int rd = grid->_rdimensions[dimension];
-  int ld = grid->_ldimensions[dimension];
-  int pd = grid->_processors[dimension];
-  int simd_layout     = grid->_simd_layout[dimension];
-  int comm_dim        = grid->_processors[dimension] >1 ;
-
-  //std::cout << "Cshift_comms_simd dim "<< dimension << " fd "<<fd<<" rd "<<rd
-  //    << " ld "<<ld<<" pd " << pd<<" simd_layout "<<simd_layout 
-  //    << " comm_dim " << comm_dim << " cbmask " << cbmask <<std::endl;
-
-  assert(comm_dim==1);
-  assert(simd_layout==2);
-  assert(shift>=0);
-  assert(shift<fd);
-
-  int permute_type=grid->PermuteType(dimension);
-
-  ///////////////////////////////////////////////
-  // Simd direction uses an extract/merge pair
-  ///////////////////////////////////////////////
-  int buffer_size = grid->_slice_nblock[dimension]*grid->_slice_block[dimension];
-  //  int words = sizeof(vobj)/sizeof(vector_type);
-
-  std::vector<cshiftVector<scalar_object> >  send_buf_extract(Nsimd);
-  std::vector<cshiftVector<scalar_object> >  recv_buf_extract(Nsimd);
-  scalar_object *  recv_buf_extract_mpi;
-  scalar_object *  send_buf_extract_mpi;
-  {
-    size_t bytes = sizeof(scalar_object)*buffer_size;
-    grid->ShmBufferFreeAll();
-    send_buf_extract_mpi = (scalar_object *)grid->ShmBufferMalloc(bytes);
-    recv_buf_extract_mpi = (scalar_object *)grid->ShmBufferMalloc(bytes);
-  }
-  for(int s=0;s<Nsimd;s++){
-    send_buf_extract[s].resize(buffer_size);
-    recv_buf_extract[s].resize(buffer_size);
-  }
-
-  int bytes = buffer_size*sizeof(scalar_object);
-
-  ExtractPointerArray<scalar_object>  pointers(Nsimd); // 
-  ExtractPointerArray<scalar_object> rpointers(Nsimd); // received pointers
-
-  ///////////////////////////////////////////
-  // Work out what to send where
-  ///////////////////////////////////////////
-  int cb    = (cbmask==0x2)? Odd : Even;
-  int sshift= grid->CheckerBoardShiftForCB(rhs.Checkerboard(),dimension,shift,cb);
-
-  // loop over outer coord planes orthog to dim
-  for(int x=0;x<rd;x++){       
-
-    // FIXME call local permute copy if none are offnode.
-    for(int i=0;i<Nsimd;i++){       
-      pointers[i] = &send_buf_extract[i][0];
-    }
-    int sx   = (x+sshift)%rd;
-    Gather_plane_extract(rhs,pointers,dimension,sx,cbmask);
-
-    for(int i=0;i<Nsimd;i++){
-      
-      int inner_bit = (Nsimd>>(permute_type+1));
-      int ic= (i&inner_bit)? 1:0;
-
-      int my_coor          = rd*ic + x;
-      int nbr_coor         = my_coor+sshift;
-      int nbr_proc = ((nbr_coor)/ld) % pd;// relative shift in processors
-
-      int nbr_ic   = (nbr_coor%ld)/rd;    // inner coord of peer
-      int nbr_ox   = (nbr_coor%rd);       // outer coord of peer
-      int nbr_lane = (i&(~inner_bit));
-
-      int recv_from_rank;
-      int xmit_to_rank;
-
-      if (nbr_ic) nbr_lane|=inner_bit;
-
-      assert (sx == nbr_ox);
-
-      if(nbr_proc){
-	grid->ShiftedRanks(dimension,nbr_proc,xmit_to_rank,recv_from_rank); 
-
-	grid->Barrier();
-
-	acceleratorCopyDeviceToDevice((void *)&send_buf_extract[nbr_lane][0],(void *)send_buf_extract_mpi,bytes);
-	grid->SendToRecvFrom((void *)send_buf_extract_mpi,
-			     xmit_to_rank,
-			     (void *)recv_buf_extract_mpi,
-			     recv_from_rank,
-			     bytes);
-	acceleratorCopyDeviceToDevice((void *)recv_buf_extract_mpi,(void *)&recv_buf_extract[i][0],bytes);
-
-	grid->Barrier();
-	rpointers[i] = &recv_buf_extract[i][0];
-      } else { 
-	rpointers[i] = &send_buf_extract[nbr_lane][0];
-      }
-
-    }
-    Scatter_plane_merge(ret,rpointers,dimension,x,cbmask);
-  }
-
-}
-#endif
-NAMESPACE_END(Grid); 
-
-#endif

Grid/cshift/Cshift_none.h

@@ -1,40 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/cshift/Cshift_none.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef _GRID_CSHIFT_NONE_H_
-#define _GRID_CSHIFT_NONE_H_
-NAMESPACE_BEGIN(Grid);
-template<class vobj> Lattice<vobj> Cshift(const Lattice<vobj> &rhs,int dimension,int shift)
-{
-  Lattice<vobj> ret(rhs.Grid());
-  ret.Checkerboard() = rhs.Grid()->CheckerBoardDestination(rhs.Checkerboard(),shift,dimension);
-  Cshift_local(ret,rhs,dimension,shift);
-  return ret;
-}
-NAMESPACE_END(Grid);
-
-#endif

Grid/cshift/Cshift_table.cc

@@ -1,4 +0,0 @@
-#include <Grid/GridCore.h>       
-NAMESPACE_BEGIN(Grid);
-Vector<std::pair<int,int> > Cshift_table; 
-NAMESPACE_END(Grid);

Grid/lattice/Lattice.h

@@ -1,48 +0,0 @@
-    /*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/Lattice.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-    *************************************************************************************/
-    /*  END LEGAL */
-#pragma once
-#include <Grid/lattice/Lattice_view.h>
-#include <Grid/lattice/Lattice_base.h>
-#include <Grid/lattice/Lattice_conformable.h>
-#include <Grid/lattice/Lattice_ET.h>
-#include <Grid/lattice/Lattice_arith.h>
-#include <Grid/lattice/Lattice_trace.h>
-#include <Grid/lattice/Lattice_transpose.h>
-#include <Grid/lattice/Lattice_local.h>
-#include <Grid/lattice/Lattice_reduction.h>
-#include <Grid/lattice/Lattice_peekpoke.h>
-#include <Grid/lattice/Lattice_reality.h>
-#include <Grid/lattice/Lattice_real_imag.h>
-#include <Grid/lattice/Lattice_comparison_utils.h>
-#include <Grid/lattice/Lattice_comparison.h>
-#include <Grid/lattice/Lattice_coordinate.h>
-//#include <Grid/lattice/Lattice_where.h>
-#include <Grid/lattice/Lattice_rng.h>
-#include <Grid/lattice/Lattice_unary.h>
-#include <Grid/lattice/Lattice_transfer.h>
-#include <Grid/lattice/Lattice_basis.h>

Grid/lattice/Lattice_ET.h

@@ -1,530 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/lattice/Lattice_ET.h
-
-Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-Author: neo <cossu@post.kek.jp>
-Author: Christoph Lehner <christoph@lhnr.de
-
-This program is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2 of the License, or
-(at your option) any later version.
-
-This program is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-GNU General Public License for more details.
-
-You should have received a copy of the GNU General Public License along
-with this program; if not, write to the Free Software Foundation, Inc.,
-51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-See the full license in the file "LICENSE" in the top level distribution
-directory
-*************************************************************************************/
-			   /*  END LEGAL */
-#ifndef GRID_LATTICE_ET_H
-#define GRID_LATTICE_ET_H
-
-#include <iostream>
-#include <tuple>
-#include <typeinfo>
-#include <vector>
-
-NAMESPACE_BEGIN(Grid);
-
-////////////////////////////////////////////////////
-// Predicated where support
-////////////////////////////////////////////////////
-#ifdef GRID_SIMT
-// drop to scalar in SIMT; cleaner in fact
-template <class iobj, class vobj, class robj>
-accelerator_inline vobj predicatedWhere(const iobj &predicate, 
-					const vobj &iftrue, 
-					const robj &iffalse) 
-{
-  Integer mask = TensorRemove(predicate);
-  typename std::remove_const<vobj>::type ret= iffalse;
-  if (mask) ret=iftrue;
-  return ret;
-}
-#else
-template <class iobj, class vobj, class robj>
-accelerator_inline vobj predicatedWhere(const iobj &predicate, 
-					const vobj &iftrue, 
-					const robj &iffalse) 
-{
-  typename std::remove_const<vobj>::type ret;
-
-  typedef typename vobj::scalar_object scalar_object;
-  typedef typename vobj::scalar_type scalar_type;
-  typedef typename vobj::vector_type vector_type;
-
-  const int Nsimd = vobj::vector_type::Nsimd();
-
-  ExtractBuffer<Integer> mask(Nsimd);
-  ExtractBuffer<scalar_object> truevals(Nsimd);
-  ExtractBuffer<scalar_object> falsevals(Nsimd);
-
-  extract(iftrue, truevals);
-  extract(iffalse, falsevals);
-  extract<vInteger, Integer>(TensorRemove(predicate), mask);
-
-  for (int s = 0; s < Nsimd; s++) {
-    if (mask[s]) falsevals[s] = truevals[s];
-  }
-
-  merge(ret, falsevals);
-  return ret;
-}
-#endif
-
-/////////////////////////////////////////////////////
-//Specialization of getVectorType for lattices
-/////////////////////////////////////////////////////
-template<typename T>
-struct getVectorType<Lattice<T> >{
-  typedef typename Lattice<T>::vector_object type;
-};
-
-////////////////////////////////////////////
-//--  recursive evaluation of expressions; --
-// handle leaves of syntax tree
-///////////////////////////////////////////////////
-template<class sobj,
-  typename std::enable_if<!is_lattice<sobj>::value&&!is_lattice_expr<sobj>::value,sobj>::type * = nullptr> 
-accelerator_inline 
-sobj eval(const uint64_t ss, const sobj &arg)
-{
-  return arg;
-}
-template <class lobj> accelerator_inline 
-auto eval(const uint64_t ss, const LatticeView<lobj> &arg) -> decltype(arg(ss))
-{
-  return arg(ss);
-}
-
-////////////////////////////////////////////
-//--  recursive evaluation of expressions; --
-// whole vector return, used only for expression return type inference
-///////////////////////////////////////////////////
-template<class sobj> accelerator_inline 
-sobj vecEval(const uint64_t ss, const sobj &arg)
-{
-  return arg;
-}
-template <class lobj> accelerator_inline 
-const lobj & vecEval(const uint64_t ss, const LatticeView<lobj> &arg) 
-{
-  return arg[ss];
-}
-
-///////////////////////////////////////////////////
-// handle nodes in syntax tree- eval one operand
-// vecEval needed (but never called as all expressions offloaded) to infer the return type
-// in SIMT contexts of closure.
-///////////////////////////////////////////////////
-template <typename Op, typename T1> accelerator_inline 
-auto vecEval(const uint64_t ss, const LatticeUnaryExpression<Op, T1> &expr)  
-  -> decltype(expr.op.func( vecEval(ss, expr.arg1)))
-{
-  return expr.op.func( vecEval(ss, expr.arg1) );
-}
-// vecEval two operands
-template <typename Op, typename T1, typename T2> accelerator_inline
-auto vecEval(const uint64_t ss, const LatticeBinaryExpression<Op, T1, T2> &expr)  
-  -> decltype(expr.op.func( vecEval(ss,expr.arg1),vecEval(ss,expr.arg2)))
-{
-  return expr.op.func( vecEval(ss,expr.arg1), vecEval(ss,expr.arg2) );
-}
-// vecEval three operands
-template <typename Op, typename T1, typename T2, typename T3> accelerator_inline
-auto vecEval(const uint64_t ss, const LatticeTrinaryExpression<Op, T1, T2, T3> &expr)  
-  -> decltype(expr.op.func(vecEval(ss, expr.arg1), vecEval(ss, expr.arg2), vecEval(ss, expr.arg3)))
-{
-  return expr.op.func(vecEval(ss, expr.arg1), vecEval(ss, expr.arg2), vecEval(ss, expr.arg3));
-}
-
-///////////////////////////////////////////////////
-// handle nodes in syntax tree- eval one operand coalesced
-///////////////////////////////////////////////////
-template <typename Op, typename T1> accelerator_inline 
-auto eval(const uint64_t ss, const LatticeUnaryExpression<Op, T1> &expr)  
-  -> decltype(expr.op.func( eval(ss, expr.arg1)))
-{
-  return expr.op.func( eval(ss, expr.arg1) );
-}
-// eval two operands
-template <typename Op, typename T1, typename T2> accelerator_inline
-auto eval(const uint64_t ss, const LatticeBinaryExpression<Op, T1, T2> &expr)  
-  -> decltype(expr.op.func( eval(ss,expr.arg1),eval(ss,expr.arg2)))
-{
-  return expr.op.func( eval(ss,expr.arg1), eval(ss,expr.arg2) );
-}
-// eval three operands
-template <typename Op, typename T1, typename T2, typename T3> accelerator_inline
-auto eval(const uint64_t ss, const LatticeTrinaryExpression<Op, T1, T2, T3> &expr)  
-  -> decltype(expr.op.func(eval(ss, expr.arg1), 
-			   eval(ss, expr.arg2), 
-			   eval(ss, expr.arg3)))
-{
-#ifdef GRID_SIMT
-  // Handles Nsimd (vInteger) != Nsimd(ComplexD)
-  typedef decltype(vecEval(ss, expr.arg2)) rvobj;
-  typedef typename std::remove_reference<rvobj>::type vobj;
-
-  const int Nsimd = vobj::vector_type::Nsimd();
-
-  auto vpred = vecEval(ss,expr.arg1);
-
-  ExtractBuffer<Integer> mask(Nsimd);
-  extract<vInteger, Integer>(TensorRemove(vpred), mask);
-
-  int s = acceleratorSIMTlane(Nsimd);
-  return expr.op.func(mask[s],
-		      eval(ss, expr.arg2), 
-		      eval(ss, expr.arg3));
-#else
-  return expr.op.func(eval(ss, expr.arg1),
-		      eval(ss, expr.arg2), 
-		      eval(ss, expr.arg3));
-#endif
-}
-
-//////////////////////////////////////////////////////////////////////////
-// Obtain the grid from an expression, ensuring conformable. This must follow a
-// tree recursion; must retain grid pointer in the LatticeView class which sucks
-// Use a different method, and make it void *.
-// Perhaps a conformable method.
-//////////////////////////////////////////////////////////////////////////
-template <class T1,typename std::enable_if<is_lattice<T1>::value, T1>::type * = nullptr>
-accelerator_inline void GridFromExpression(GridBase *&grid, const T1 &lat)  // Lattice leaf
-{
-  lat.Conformable(grid);
-}
-
-template <class T1,typename std::enable_if<!is_lattice<T1>::value, T1>::type * = nullptr>
-accelerator_inline 
-void GridFromExpression(GridBase *&grid,const T1 &notlat)  // non-lattice leaf
-{}
-
-template <typename Op, typename T1>
-accelerator_inline 
-void GridFromExpression(GridBase *&grid,const LatticeUnaryExpression<Op, T1> &expr) 
-{
-  GridFromExpression(grid, expr.arg1);  // recurse
-}
-
-template <typename Op, typename T1, typename T2>
-accelerator_inline 
-void GridFromExpression(GridBase *&grid, const LatticeBinaryExpression<Op, T1, T2> &expr) 
-{
-  GridFromExpression(grid, expr.arg1);  // recurse
-  GridFromExpression(grid, expr.arg2);
-}
-template <typename Op, typename T1, typename T2, typename T3>
-accelerator_inline 
-void GridFromExpression(GridBase *&grid, const LatticeTrinaryExpression<Op, T1, T2, T3> &expr) 
-{
-  GridFromExpression(grid, expr.arg1);  // recurse
-  GridFromExpression(grid, expr.arg2);  // recurse
-  GridFromExpression(grid, expr.arg3);  // recurse
-}
-
-//////////////////////////////////////////////////////////////////////////
-// Obtain the CB from an expression, ensuring conformable. This must follow a
-// tree recursion
-//////////////////////////////////////////////////////////////////////////
-template <class T1,typename std::enable_if<is_lattice<T1>::value, T1>::type * = nullptr>
-inline void CBFromExpression(int &cb, const T1 &lat)  // Lattice leaf
-{
-  if ((cb == Odd) || (cb == Even)) {
-    assert(cb == lat.Checkerboard());
-  }
-  cb = lat.Checkerboard();
-}
-template <class T1,typename std::enable_if<!is_lattice<T1>::value, T1>::type * = nullptr>
-inline void CBFromExpression(int &cb, const T1 &notlat) {} // non-lattice leaf
-template <typename Op, typename T1> inline 
-void CBFromExpression(int &cb,const LatticeUnaryExpression<Op, T1> &expr) 
-{
-  CBFromExpression(cb, expr.arg1);  // recurse AST
-}
-template <typename Op, typename T1, typename T2> inline 
-void CBFromExpression(int &cb,const LatticeBinaryExpression<Op, T1, T2> &expr) 
-{
-  CBFromExpression(cb, expr.arg1);  // recurse AST
-  CBFromExpression(cb, expr.arg2);  // recurse AST
-}
-template <typename Op, typename T1, typename T2, typename T3>
-inline void CBFromExpression(int &cb, const LatticeTrinaryExpression<Op, T1, T2, T3> &expr) 
-{
-  CBFromExpression(cb, expr.arg1);  // recurse AST
-  CBFromExpression(cb, expr.arg2);  // recurse AST
-  CBFromExpression(cb, expr.arg3);  // recurse AST
-}
-
-
-//////////////////////////////////////////////////////////////////////////
-// ViewOpen
-//////////////////////////////////////////////////////////////////////////
-template <class T1,typename std::enable_if<is_lattice<T1>::value, T1>::type * = nullptr>
-inline void ExpressionViewOpen(T1 &lat)  // Lattice leaf
-{
-  lat.ViewOpen(AcceleratorRead);
-}
-template <class T1,typename std::enable_if<!is_lattice<T1>::value, T1>::type * = nullptr>
-  inline void ExpressionViewOpen(T1 &notlat) {}
-
-template <typename Op, typename T1> inline 
-void ExpressionViewOpen(LatticeUnaryExpression<Op, T1> &expr) 
-{  
-  ExpressionViewOpen(expr.arg1); // recurse AST
-}
-
-template <typename Op, typename T1, typename T2> inline 
-void ExpressionViewOpen(LatticeBinaryExpression<Op, T1, T2> &expr) 
-{
-  ExpressionViewOpen(expr.arg1);  // recurse AST
-  ExpressionViewOpen(expr.arg2);  // rrecurse AST
-}
-template <typename Op, typename T1, typename T2, typename T3>
-inline void ExpressionViewOpen(LatticeTrinaryExpression<Op, T1, T2, T3> &expr) 
-{
-  ExpressionViewOpen(expr.arg1);  // recurse AST
-  ExpressionViewOpen(expr.arg2);  // recurse AST
-  ExpressionViewOpen(expr.arg3);  // recurse AST
-}
-
-//////////////////////////////////////////////////////////////////////////
-// ViewClose
-//////////////////////////////////////////////////////////////////////////
-template <class T1,typename std::enable_if<is_lattice<T1>::value, T1>::type * = nullptr>
-inline void ExpressionViewClose( T1 &lat)  // Lattice leaf
-{
-  lat.ViewClose();
-}
-template <class T1,typename std::enable_if<!is_lattice<T1>::value, T1>::type * = nullptr>
-inline void ExpressionViewClose(T1 &notlat) {}
-
-template <typename Op, typename T1> inline 
-void ExpressionViewClose(LatticeUnaryExpression<Op, T1> &expr) 
-{  
-  ExpressionViewClose(expr.arg1); // recurse AST
-}
-template <typename Op, typename T1, typename T2> inline 
-void ExpressionViewClose(LatticeBinaryExpression<Op, T1, T2> &expr) 
-{
-  ExpressionViewClose(expr.arg1);  // recurse AST
-  ExpressionViewClose(expr.arg2);  // recurse AST
-}
-template <typename Op, typename T1, typename T2, typename T3>
-inline void ExpressionViewClose(LatticeTrinaryExpression<Op, T1, T2, T3> &expr) 
-{
-  ExpressionViewClose(expr.arg1);  // recurse AST
-  ExpressionViewClose(expr.arg2);  // recurse AST
-  ExpressionViewClose(expr.arg3);  // recurse AST
-}
-
-////////////////////////////////////////////
-// Unary operators and funcs
-////////////////////////////////////////////
-#define GridUnopClass(name, ret)					\
-  struct name {								\
-    template<class _arg> static auto accelerator_inline func(const _arg a) -> decltype(ret) { return ret; } \
-  };
-
-GridUnopClass(UnarySub, -a);
-GridUnopClass(UnaryNot, Not(a));
-GridUnopClass(UnaryTrace, trace(a));
-GridUnopClass(UnaryTranspose, transpose(a));
-GridUnopClass(UnaryTa, Ta(a));
-GridUnopClass(UnaryProjectOnGroup, ProjectOnGroup(a));
-GridUnopClass(UnaryTimesI, timesI(a));
-GridUnopClass(UnaryTimesMinusI, timesMinusI(a));
-GridUnopClass(UnaryAbs, abs(a));
-GridUnopClass(UnarySqrt, sqrt(a));
-GridUnopClass(UnarySin, sin(a));
-GridUnopClass(UnaryCos, cos(a));
-GridUnopClass(UnaryAsin, asin(a));
-GridUnopClass(UnaryAcos, acos(a));
-GridUnopClass(UnaryLog, log(a));
-GridUnopClass(UnaryExp, exp(a));
-
-////////////////////////////////////////////
-// Binary operators
-////////////////////////////////////////////
-#define GridBinOpClass(name, combination)			\
-  struct name {							\
-    template <class _left, class _right>			\
-    static auto accelerator_inline				\
-    func(const _left &lhs, const _right &rhs)			\
-      -> decltype(combination) const				\
-    {								\
-      return combination;					\
-    }								\
-  };
-
-GridBinOpClass(BinaryAdd, lhs + rhs);
-GridBinOpClass(BinarySub, lhs - rhs);
-GridBinOpClass(BinaryMul, lhs *rhs);
-GridBinOpClass(BinaryDiv, lhs /rhs);
-GridBinOpClass(BinaryAnd, lhs &rhs);
-GridBinOpClass(BinaryOr, lhs | rhs);
-GridBinOpClass(BinaryAndAnd, lhs &&rhs);
-GridBinOpClass(BinaryOrOr, lhs || rhs);
-
-////////////////////////////////////////////////////
-// Trinary conditional op
-////////////////////////////////////////////////////
-#define GridTrinOpClass(name, combination)				\
-  struct name {								\
-    template <class _predicate,class _left, class _right>		\
-    static auto accelerator_inline					\
-    func(const _predicate &pred, const _left &lhs, const _right &rhs)	\
-      -> decltype(combination) const					\
-    {									\
-      return combination;						\
-    }									\
-  };
-
-GridTrinOpClass(TrinaryWhere,
-		(predicatedWhere<
-		 typename std::remove_reference<_predicate>::type, 
-		 typename std::remove_reference<_left>::type,
-		 typename std::remove_reference<_right>::type>(pred, lhs,rhs)));
-
-////////////////////////////////////////////
-// Operator syntactical glue
-////////////////////////////////////////////
-#define GRID_UNOP(name)   name
-#define GRID_BINOP(name)  name
-#define GRID_TRINOP(name) name
-
-#define GRID_DEF_UNOP(op, name)						\
-  template <typename T1, typename std::enable_if<is_lattice<T1>::value||is_lattice_expr<T1>::value,T1>::type * = nullptr> \
-  inline auto op(const T1 &arg) ->decltype(LatticeUnaryExpression<GRID_UNOP(name),T1>(GRID_UNOP(name)(), arg)) \
-  {									\
-    return     LatticeUnaryExpression<GRID_UNOP(name),T1>(GRID_UNOP(name)(), arg); \
-  }
-
-#define GRID_BINOP_LEFT(op, name)					\
-  template <typename T1, typename T2,					\
-            typename std::enable_if<is_lattice<T1>::value||is_lattice_expr<T1>::value,T1>::type * = nullptr> \
-  inline auto op(const T1 &lhs, const T2 &rhs)				\
-    ->decltype(LatticeBinaryExpression<GRID_BINOP(name),T1,T2>(GRID_BINOP(name)(),lhs,rhs)) \
-  {									\
-    return     LatticeBinaryExpression<GRID_BINOP(name),T1,T2>(GRID_BINOP(name)(),lhs,rhs);\
-  }
-
-#define GRID_BINOP_RIGHT(op, name)					\
-  template <typename T1, typename T2,					\
-            typename std::enable_if<!is_lattice<T1>::value&&!is_lattice_expr<T1>::value,T1>::type * = nullptr, \
-            typename std::enable_if< is_lattice<T2>::value|| is_lattice_expr<T2>::value,T2>::type * = nullptr> \
-  inline auto op(const T1 &lhs, const T2 &rhs)				\
-    ->decltype(LatticeBinaryExpression<GRID_BINOP(name),T1,T2>(GRID_BINOP(name)(),lhs, rhs)) \
-  {									\
-    return     LatticeBinaryExpression<GRID_BINOP(name),T1,T2>(GRID_BINOP(name)(),lhs, rhs); \
-  }
-
-#define GRID_DEF_BINOP(op, name)		\
-  GRID_BINOP_LEFT(op, name);			\
-  GRID_BINOP_RIGHT(op, name);
-
-#define GRID_DEF_TRINOP(op, name)					\
-  template <typename T1, typename T2, typename T3>			\
-  inline auto op(const T1 &pred, const T2 &lhs, const T3 &rhs)		\
-    ->decltype(LatticeTrinaryExpression<GRID_TRINOP(name),T1,T2,T3>(GRID_TRINOP(name)(),pred, lhs, rhs)) \
-  {									\
-    return LatticeTrinaryExpression<GRID_TRINOP(name),T1,T2,T3>(GRID_TRINOP(name)(),pred, lhs, rhs); \
-  }
-
-////////////////////////
-// Operator definitions
-////////////////////////
-GRID_DEF_UNOP(operator-, UnarySub);
-GRID_DEF_UNOP(Not, UnaryNot);
-GRID_DEF_UNOP(operator!, UnaryNot);
-//GRID_DEF_UNOP(adj, UnaryAdj);
-//GRID_DEF_UNOP(conjugate, UnaryConj);
-GRID_DEF_UNOP(trace, UnaryTrace);
-GRID_DEF_UNOP(transpose, UnaryTranspose);
-GRID_DEF_UNOP(Ta, UnaryTa);
-GRID_DEF_UNOP(ProjectOnGroup, UnaryProjectOnGroup);
-GRID_DEF_UNOP(timesI, UnaryTimesI);
-GRID_DEF_UNOP(timesMinusI, UnaryTimesMinusI);
-GRID_DEF_UNOP(abs, UnaryAbs);  // abs overloaded in cmath C++98; DON'T do the
-                               // abs-fabs-dabs-labs thing
-GRID_DEF_UNOP(sqrt, UnarySqrt);
-GRID_DEF_UNOP(sin, UnarySin);
-GRID_DEF_UNOP(cos, UnaryCos);
-GRID_DEF_UNOP(asin, UnaryAsin);
-GRID_DEF_UNOP(acos, UnaryAcos);
-GRID_DEF_UNOP(log, UnaryLog);
-GRID_DEF_UNOP(exp, UnaryExp);
-
-GRID_DEF_BINOP(operator+, BinaryAdd);
-GRID_DEF_BINOP(operator-, BinarySub);
-GRID_DEF_BINOP(operator*, BinaryMul);
-GRID_DEF_BINOP(operator/, BinaryDiv);
-
-GRID_DEF_BINOP(operator&, BinaryAnd);
-GRID_DEF_BINOP(operator|, BinaryOr);
-GRID_DEF_BINOP(operator&&, BinaryAndAnd);
-GRID_DEF_BINOP(operator||, BinaryOrOr);
-
-GRID_DEF_TRINOP(where, TrinaryWhere);
-
-/////////////////////////////////////////////////////////////
-// Closure convenience to force expression to evaluate
-/////////////////////////////////////////////////////////////
-template <class Op, class T1>
-auto closure(const LatticeUnaryExpression<Op, T1> &expr)
-  -> Lattice<typename std::remove_const<decltype(expr.op.func(vecEval(0, expr.arg1)))>::type > 
-{
-  Lattice<typename std::remove_const<decltype(expr.op.func(vecEval(0, expr.arg1)))>::type > ret(expr);
-  return ret;
-}
-template <class Op, class T1, class T2>
-auto closure(const LatticeBinaryExpression<Op, T1, T2> &expr)
-  -> Lattice<typename std::remove_const<decltype(expr.op.func(vecEval(0, expr.arg1),vecEval(0, expr.arg2)))>::type >
-{
-  Lattice<typename std::remove_const<decltype(expr.op.func(vecEval(0, expr.arg1),vecEval(0, expr.arg2)))>::type > ret(expr);
-  return ret;
-}
-template <class Op, class T1, class T2, class T3>
-auto closure(const LatticeTrinaryExpression<Op, T1, T2, T3> &expr)
-  -> Lattice<typename std::remove_const<decltype(expr.op.func(vecEval(0, expr.arg1),
-				   vecEval(0, expr.arg2),
-				   vecEval(0, expr.arg3)))>::type >
-{
-  Lattice<typename std::remove_const<decltype(expr.op.func(vecEval(0, expr.arg1),
-				vecEval(0, expr.arg2),
-			        vecEval(0, expr.arg3)))>::type >  ret(expr);
-  return ret;
-}
-#define EXPRESSION_CLOSURE(function)					\
-  template<class Expression,typename std::enable_if<is_lattice_expr<Expression>::value,void>::type * = nullptr> \
-    auto function(Expression &expr) -> decltype(function(closure(expr))) \
-  {									\
-    return function(closure(expr));					\
-  }
-
-
-#undef GRID_UNOP
-#undef GRID_BINOP
-#undef GRID_TRINOP
-
-#undef GRID_DEF_UNOP
-#undef GRID_DEF_BINOP
-#undef GRID_DEF_TRINOP
-
-NAMESPACE_END(Grid);
-
-#endif

Grid/lattice/Lattice_arith.h

@@ -1,258 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/lattice/Lattice_arith.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-Author: Christoph Lehner <christoph@lhnr.de>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_LATTICE_ARITH_H
-#define GRID_LATTICE_ARITH_H
-
-NAMESPACE_BEGIN(Grid);
-
-//////////////////////////////////////////////////////////////////////////////////////////////////////
-//  avoid copy back routines for mult, mac, sub, add
-//////////////////////////////////////////////////////////////////////////////////////////////////////
-template<class obj1,class obj2,class obj3> inline
-void mult(Lattice<obj1> &ret,const Lattice<obj2> &lhs,const Lattice<obj3> &rhs){
-  ret.Checkerboard() = lhs.Checkerboard();
-  autoView( ret_v , ret, AcceleratorWrite);
-  autoView( lhs_v , lhs, AcceleratorRead);
-  autoView( rhs_v , rhs, AcceleratorRead);
-  conformable(ret,rhs);
-  conformable(lhs,rhs);
-  accelerator_for(ss,lhs_v.size(),obj1::Nsimd(),{
-    decltype(coalescedRead(obj1())) tmp;
-    auto lhs_t = lhs_v(ss);
-    auto rhs_t = rhs_v(ss);
-    mult(&tmp,&lhs_t,&rhs_t);
-    coalescedWrite(ret_v[ss],tmp);
-  });
-}
-  
-template<class obj1,class obj2,class obj3> inline
-void mac(Lattice<obj1> &ret,const Lattice<obj2> &lhs,const Lattice<obj3> &rhs){
-  ret.Checkerboard() = lhs.Checkerboard();
-  conformable(ret,rhs);
-  conformable(lhs,rhs);
-  autoView( ret_v , ret, AcceleratorWrite);
-  autoView( lhs_v , lhs, AcceleratorRead);
-  autoView( rhs_v , rhs, AcceleratorRead);
-  accelerator_for(ss,lhs_v.size(),obj1::Nsimd(),{
-    auto lhs_t=lhs_v(ss);
-    auto rhs_t=rhs_v(ss);
-    auto tmp  =ret_v(ss);
-    mac(&tmp,&lhs_t,&rhs_t);
-    coalescedWrite(ret_v[ss],tmp);
-  });
-}
-  
-template<class obj1,class obj2,class obj3> inline
-void sub(Lattice<obj1> &ret,const Lattice<obj2> &lhs,const Lattice<obj3> &rhs){
-  ret.Checkerboard() = lhs.Checkerboard();
-  conformable(ret,rhs);
-  conformable(lhs,rhs);
-  autoView( ret_v , ret, AcceleratorWrite);
-  autoView( lhs_v , lhs, AcceleratorRead);
-  autoView( rhs_v , rhs, AcceleratorRead);
-  accelerator_for(ss,lhs_v.size(),obj1::Nsimd(),{
-    decltype(coalescedRead(obj1())) tmp;
-    auto lhs_t=lhs_v(ss);
-    auto rhs_t=rhs_v(ss);
-    sub(&tmp,&lhs_t,&rhs_t);
-    coalescedWrite(ret_v[ss],tmp);
-  });
-}
-template<class obj1,class obj2,class obj3> inline
-void add(Lattice<obj1> &ret,const Lattice<obj2> &lhs,const Lattice<obj3> &rhs){
-  ret.Checkerboard() = lhs.Checkerboard();
-  conformable(ret,rhs);
-  conformable(lhs,rhs);
-  autoView( ret_v , ret, AcceleratorWrite);
-  autoView( lhs_v , lhs, AcceleratorRead);
-  autoView( rhs_v , rhs, AcceleratorRead);
-  accelerator_for(ss,lhs_v.size(),obj1::Nsimd(),{
-    decltype(coalescedRead(obj1())) tmp;
-    auto lhs_t=lhs_v(ss);
-    auto rhs_t=rhs_v(ss);
-    add(&tmp,&lhs_t,&rhs_t);
-    coalescedWrite(ret_v[ss],tmp);
-  });
-}
-  
-//////////////////////////////////////////////////////////////////////////////////////////////////////
-//  avoid copy back routines for mult, mac, sub, add
-//////////////////////////////////////////////////////////////////////////////////////////////////////
-template<class obj1,class obj2,class obj3> inline
-void mult(Lattice<obj1> &ret,const Lattice<obj2> &lhs,const obj3 &rhs){
-  ret.Checkerboard() = lhs.Checkerboard();
-  conformable(lhs,ret);
-  autoView( ret_v , ret, AcceleratorWrite);
-  autoView( lhs_v , lhs, AcceleratorRead);
-  accelerator_for(ss,lhs_v.size(),obj1::Nsimd(),{
-    decltype(coalescedRead(obj1())) tmp;
-    mult(&tmp,&lhs_v(ss),&rhs);
-    coalescedWrite(ret_v[ss],tmp);
-  });
-}
-  
-template<class obj1,class obj2,class obj3> inline
-void mac(Lattice<obj1> &ret,const Lattice<obj2> &lhs,const obj3 &rhs){
-  ret.Checkerboard() = lhs.Checkerboard();
-  conformable(ret,lhs);
-  autoView( ret_v , ret, AcceleratorWrite);
-  autoView( lhs_v , lhs, AcceleratorRead);
-  accelerator_for(ss,lhs_v.size(),obj1::Nsimd(),{
-    auto tmp  =ret_v(ss);
-    auto lhs_t=lhs_v(ss);
-    mac(&tmp,&lhs_t,&rhs);
-    coalescedWrite(ret_v[ss],tmp);
-  });
-}
-  
-template<class obj1,class obj2,class obj3> inline
-void sub(Lattice<obj1> &ret,const Lattice<obj2> &lhs,const obj3 &rhs){
-  ret.Checkerboard() = lhs.Checkerboard();
-  conformable(ret,lhs);
-  autoView( ret_v , ret, AcceleratorWrite);
-  autoView( lhs_v , lhs, AcceleratorRead);
-  accelerator_for(ss,lhs_v.size(),obj1::Nsimd(),{
-    decltype(coalescedRead(obj1())) tmp;
-    auto lhs_t=lhs_v(ss);
-    sub(&tmp,&lhs_t,&rhs);
-    coalescedWrite(ret_v[ss],tmp);
-  });
-}
-template<class obj1,class obj2,class obj3> inline
-void add(Lattice<obj1> &ret,const Lattice<obj2> &lhs,const obj3 &rhs){
-  ret.Checkerboard() = lhs.Checkerboard();
-  conformable(lhs,ret);
-  autoView( ret_v , ret, AcceleratorWrite);
-  autoView( lhs_v , lhs, AcceleratorRead);
-  accelerator_for(ss,lhs_v.size(),obj1::Nsimd(),{
-    decltype(coalescedRead(obj1())) tmp;
-    auto lhs_t=lhs_v(ss);
-    add(&tmp,&lhs_t,&rhs);
-    coalescedWrite(ret_v[ss],tmp);
-  });
-}
-
-//////////////////////////////////////////////////////////////////////////////////////////////////////
-//  avoid copy back routines for mult, mac, sub, add
-//////////////////////////////////////////////////////////////////////////////////////////////////////
-template<class obj1,class obj2,class obj3> inline
-void mult(Lattice<obj1> &ret,const obj2 &lhs,const Lattice<obj3> &rhs){
-  ret.Checkerboard() = rhs.Checkerboard();
-  conformable(ret,rhs);
-  autoView( ret_v , ret, AcceleratorWrite);
-  autoView( rhs_v , lhs, AcceleratorRead);
-  accelerator_for(ss,rhs_v.size(),obj1::Nsimd(),{
-    decltype(coalescedRead(obj1())) tmp;
-    auto rhs_t=rhs_v(ss);
-    mult(&tmp,&lhs,&rhs_t);
-    coalescedWrite(ret_v[ss],tmp);
-  });
-}
-  
-template<class obj1,class obj2,class obj3> inline
-void mac(Lattice<obj1> &ret,const obj2 &lhs,const Lattice<obj3> &rhs){
-  ret.Checkerboard() = rhs.Checkerboard();
-  conformable(ret,rhs);
-  autoView( ret_v , ret, AcceleratorWrite);
-  autoView( rhs_v , lhs, AcceleratorRead);
-  accelerator_for(ss,rhs_v.size(),obj1::Nsimd(),{
-    auto tmp  =ret_v(ss);
-    auto rhs_t=rhs_v(ss);
-    mac(&tmp,&lhs,&rhs_t);
-    coalescedWrite(ret_v[ss],tmp);
-  });
-}
-  
-template<class obj1,class obj2,class obj3> inline
-void sub(Lattice<obj1> &ret,const obj2 &lhs,const Lattice<obj3> &rhs){
-  ret.Checkerboard() = rhs.Checkerboard();
-  conformable(ret,rhs);
-  autoView( ret_v , ret, AcceleratorWrite);
-  autoView( rhs_v , lhs, AcceleratorRead);
-  accelerator_for(ss,rhs_v.size(),obj1::Nsimd(),{
-    decltype(coalescedRead(obj1())) tmp;
-    auto rhs_t=rhs_v(ss);
-    sub(&tmp,&lhs,&rhs_t);
-    coalescedWrite(ret_v[ss],tmp);
-  });
-}
-template<class obj1,class obj2,class obj3> inline
-void add(Lattice<obj1> &ret,const obj2 &lhs,const Lattice<obj3> &rhs){
-  ret.Checkerboard() = rhs.Checkerboard();
-  conformable(ret,rhs);
-  autoView( ret_v , ret, AcceleratorWrite);
-  autoView( rhs_v , lhs, AcceleratorRead);
-  accelerator_for(ss,rhs_v.size(),obj1::Nsimd(),{
-    decltype(coalescedRead(obj1())) tmp;
-    auto rhs_t=rhs_v(ss);
-    add(&tmp,&lhs,&rhs_t);
-    coalescedWrite(ret_v[ss],tmp);
-  });
-}
-  
-template<class sobj,class vobj> inline
-void axpy(Lattice<vobj> &ret,sobj a,const Lattice<vobj> &x,const Lattice<vobj> &y){
-  ret.Checkerboard() = x.Checkerboard();
-  conformable(ret,x);
-  conformable(x,y);
-  autoView( ret_v , ret, AcceleratorWrite);
-  autoView( x_v , x, AcceleratorRead);
-  autoView( y_v , y, AcceleratorRead);
-  accelerator_for(ss,x_v.size(),vobj::Nsimd(),{
-    auto tmp = a*x_v(ss)+y_v(ss);
-    coalescedWrite(ret_v[ss],tmp);
-  });
-}
-template<class sobj,class vobj> inline
-void axpby(Lattice<vobj> &ret,sobj a,sobj b,const Lattice<vobj> &x,const Lattice<vobj> &y){
-  ret.Checkerboard() = x.Checkerboard();
-  conformable(ret,x);
-  conformable(x,y);
-  autoView( ret_v , ret, AcceleratorWrite);
-  autoView( x_v , x, AcceleratorRead);
-  autoView( y_v , y, AcceleratorRead);
-  accelerator_for(ss,x_v.size(),vobj::Nsimd(),{
-    auto tmp = a*x_v(ss)+b*y_v(ss);
-    coalescedWrite(ret_v[ss],tmp);
-  });
-}
-
-template<class sobj,class vobj> inline
-RealD axpy_norm(Lattice<vobj> &ret,sobj a,const Lattice<vobj> &x,const Lattice<vobj> &y)
-{
-    return axpy_norm_fast(ret,a,x,y);
-}
-template<class sobj,class vobj> inline
-RealD axpby_norm(Lattice<vobj> &ret,sobj a,sobj b,const Lattice<vobj> &x,const Lattice<vobj> &y)
-{
-    return axpby_norm_fast(ret,a,b,x,y);
-}
-
-NAMESPACE_END(Grid);
-#endif

Grid/lattice/Lattice_base.h

@@ -1,372 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/lattice/Lattice_base.h
-
-Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-Author: paboyle <paboyle@ph.ed.ac.uk>
-Author: Christoph Lehner <christoph@lhnr.de>
-
-This program is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2 of the License, or
-(at your option) any later version.
-
-This program is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-GNU General Public License for more details.
-
-You should have received a copy of the GNU General Public License along
-with this program; if not, write to the Free Software Foundation, Inc.,
-51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-See the full license in the file "LICENSE" in the top level distribution
-directory
-*************************************************************************************/
-			   /*  END LEGAL */
-
-#pragma once 
-
-#define STREAMING_STORES
-
-NAMESPACE_BEGIN(Grid);
-
-extern int GridCshiftPermuteMap[4][16];
-
-/////////////////////////////////////////////////////////////////////////////////////////
-// The real lattice class, with normal copy and assignment semantics.
-// This contains extra (host resident) grid pointer data that may be accessed by host code
-/////////////////////////////////////////////////////////////////////////////////////////
-template<class vobj>
-class Lattice : public LatticeAccelerator<vobj>
-{
-public:
-  GridBase *Grid(void) const { return this->_grid; }
-  ///////////////////////////////////////////////////
-  // Member types
-  ///////////////////////////////////////////////////
-  typedef typename vobj::scalar_type scalar_type;
-  typedef typename vobj::vector_type vector_type;
-  typedef typename vobj::scalar_object scalar_object;
-  typedef vobj vector_object;
-
-private:
-  void dealloc(void)
-  {
-    if( this->_odata_size ) {
-      alignedAllocator<vobj> alloc;
-      alloc.deallocate(this->_odata,this->_odata_size);
-      this->_odata=nullptr;
-      this->_odata_size=0;
-    }
-  }
-  void resize(uint64_t size)
-  {
-    if ( this->_odata_size != size ) {
-      alignedAllocator<vobj> alloc;
-
-      dealloc();
-      
-      this->_odata_size = size;
-      if ( size )
-	this->_odata      = alloc.allocate(this->_odata_size);
-      else 
-	this->_odata      = nullptr;
-    }
-  }
-public:
-
-  /////////////////////////////////////////////////////////////////////////////////
-  // Can use to make accelerator dirty without copy from host ; useful for temporaries "dont care" prev contents
-  /////////////////////////////////////////////////////////////////////////////////
-  void SetViewMode(ViewMode mode) {
-    LatticeView<vobj> accessor(*( (LatticeAccelerator<vobj> *) this),mode);
-    accessor.ViewClose();
-  }
-  /////////////////////////////////////////////////////////////////////////////////
-  // Return a view object that may be dereferenced in site loops.
-  // The view is trivially copy constructible and may be copied to an accelerator device
-  // in device lambdas
-  /////////////////////////////////////////////////////////////////////////////////
-
-  LatticeView<vobj> View (ViewMode mode) const 
-  {
-    LatticeView<vobj> accessor(*( (LatticeAccelerator<vobj> *) this),mode);
-    return accessor;
-  }
-
-  ~Lattice() { 
-    if ( this->_odata_size ) {
-      dealloc();
-    }
-   }
-  ////////////////////////////////////////////////////////////////////////////////
-  // Expression Template closure support
-  ////////////////////////////////////////////////////////////////////////////////
-  template <typename Op, typename T1> inline Lattice<vobj> & operator=(const LatticeUnaryExpression<Op,T1> &expr)
-  {
-    GridBase *egrid(nullptr);
-    GridFromExpression(egrid,expr);
-    assert(egrid!=nullptr);
-    conformable(this->_grid,egrid);
-
-    int cb=-1;
-    CBFromExpression(cb,expr);
-    assert( (cb==Odd) || (cb==Even));
-    this->checkerboard=cb;
-    
-    auto exprCopy = expr;
-    ExpressionViewOpen(exprCopy);
-    auto me  = View(AcceleratorWriteDiscard);
-    accelerator_for(ss,me.size(),vobj::Nsimd(),{
-      auto tmp = eval(ss,exprCopy);
-      coalescedWrite(me[ss],tmp);
-    });
-    me.ViewClose();
-    ExpressionViewClose(exprCopy);
-    return *this;
-  }
-  template <typename Op, typename T1,typename T2> inline Lattice<vobj> & operator=(const LatticeBinaryExpression<Op,T1,T2> &expr)
-  {
-    GridBase *egrid(nullptr);
-    GridFromExpression(egrid,expr);
-    assert(egrid!=nullptr);
-    conformable(this->_grid,egrid);
-
-    int cb=-1;
-    CBFromExpression(cb,expr);
-    assert( (cb==Odd) || (cb==Even));
-    this->checkerboard=cb;
-
-    auto exprCopy = expr;
-    ExpressionViewOpen(exprCopy);
-    auto me  = View(AcceleratorWriteDiscard);
-    accelerator_for(ss,me.size(),vobj::Nsimd(),{
-      auto tmp = eval(ss,exprCopy);
-      coalescedWrite(me[ss],tmp);
-    });
-    me.ViewClose();
-    ExpressionViewClose(exprCopy);
-    return *this;
-  }
-  template <typename Op, typename T1,typename T2,typename T3> inline Lattice<vobj> & operator=(const LatticeTrinaryExpression<Op,T1,T2,T3> &expr)
-  {
-    GridBase *egrid(nullptr);
-    GridFromExpression(egrid,expr);
-    assert(egrid!=nullptr);
-    conformable(this->_grid,egrid);
-
-    int cb=-1;
-    CBFromExpression(cb,expr);
-    assert( (cb==Odd) || (cb==Even));
-    this->checkerboard=cb;
-    auto exprCopy = expr;
-    ExpressionViewOpen(exprCopy);
-    auto me  = View(AcceleratorWriteDiscard);
-    accelerator_for(ss,me.size(),vobj::Nsimd(),{
-      auto tmp = eval(ss,exprCopy);
-      coalescedWrite(me[ss],tmp);
-    });
-    me.ViewClose();
-    ExpressionViewClose(exprCopy);
-    return *this;
-  }
-  //GridFromExpression is tricky to do
-  template<class Op,class T1>
-  Lattice(const LatticeUnaryExpression<Op,T1> & expr) {
-    this->_grid = nullptr;
-    GridFromExpression(this->_grid,expr);
-    assert(this->_grid!=nullptr);
-
-    int cb=-1;
-    CBFromExpression(cb,expr);
-    assert( (cb==Odd) || (cb==Even));
-    this->checkerboard=cb;
-
-    resize(this->_grid->oSites());
-
-    *this = expr;
-  }
-  template<class Op,class T1, class T2>
-  Lattice(const LatticeBinaryExpression<Op,T1,T2> & expr) {
-    this->_grid = nullptr;
-    GridFromExpression(this->_grid,expr);
-    assert(this->_grid!=nullptr);
-
-    int cb=-1;
-    CBFromExpression(cb,expr);
-    assert( (cb==Odd) || (cb==Even));
-    this->checkerboard=cb;
-
-    resize(this->_grid->oSites());
-
-    *this = expr;
-  }
-  template<class Op,class T1, class T2, class T3>
-  Lattice(const LatticeTrinaryExpression<Op,T1,T2,T3> & expr) {
-    this->_grid = nullptr;
-    GridFromExpression(this->_grid,expr);
-    assert(this->_grid!=nullptr);
-
-    int cb=-1;
-    CBFromExpression(cb,expr);
-    assert( (cb==Odd) || (cb==Even));
-    this->checkerboard=cb;
-
-    resize(this->_grid->oSites());
-
-    *this = expr;
-  }
-
-  template<class sobj> inline Lattice<vobj> & operator = (const sobj & r){
-    auto me  = View(CpuWrite);
-    thread_for(ss,me.size(),{
-	me[ss]= r;
-    });
-    me.ViewClose();
-    return *this;
-  }
-
-  //////////////////////////////////////////////////////////////////
-  // Follow rule of five, with Constructor requires "grid" passed
-  // to user defined constructor
-  ///////////////////////////////////////////
-  // user defined constructor
-  ///////////////////////////////////////////
-  Lattice(GridBase *grid,ViewMode mode=AcceleratorWriteDiscard) { 
-    this->_grid = grid;
-    resize(this->_grid->oSites());
-    assert((((uint64_t)&this->_odata[0])&0xF) ==0);
-    this->checkerboard=0;
-    SetViewMode(mode);
-  }
-  
-  //  virtual ~Lattice(void) = default;
-    
-  void reset(GridBase* grid) {
-    if (this->_grid != grid) {
-      this->_grid = grid;
-      this->resize(grid->oSites());
-      this->checkerboard = 0;
-    }
-  }
-  ///////////////////////////////////////////
-  // copy constructor
-  ///////////////////////////////////////////
-  Lattice(const Lattice& r){ 
-    this->_grid = r.Grid();
-    resize(this->_grid->oSites());
-    *this = r;
-  }
-  ///////////////////////////////////////////
-  // move constructor
-  ///////////////////////////////////////////
-  Lattice(Lattice && r){ 
-    this->_grid = r.Grid();
-    this->_odata      = r._odata;
-    this->_odata_size = r._odata_size;
-    this->checkerboard= r.Checkerboard();
-    r._odata      = nullptr;
-    r._odata_size = 0;
-  }
-  ///////////////////////////////////////////
-  // assignment template
-  ///////////////////////////////////////////
-  template<class robj> inline Lattice<vobj> & operator = (const Lattice<robj> & r){
-    typename std::enable_if<!std::is_same<robj,vobj>::value,int>::type i=0;
-    conformable(*this,r);
-    this->checkerboard = r.Checkerboard();
-    auto me =   View(AcceleratorWriteDiscard);
-    auto him= r.View(AcceleratorRead);
-    accelerator_for(ss,me.size(),vobj::Nsimd(),{
-      coalescedWrite(me[ss],him(ss));
-    });
-    me.ViewClose();    him.ViewClose();
-    return *this;
-  }
-
-  ///////////////////////////////////////////
-  // Copy assignment 
-  ///////////////////////////////////////////
-  inline Lattice<vobj> & operator = (const Lattice<vobj> & r){
-    this->checkerboard = r.Checkerboard();
-    conformable(*this,r);
-    auto me =   View(AcceleratorWriteDiscard);
-    auto him= r.View(AcceleratorRead);
-    accelerator_for(ss,me.size(),vobj::Nsimd(),{
-      coalescedWrite(me[ss],him(ss));
-    });
-    me.ViewClose();    him.ViewClose();
-    return *this;
-  }
-  ///////////////////////////////////////////
-  // Move assignment possible if same type
-  ///////////////////////////////////////////
-  inline Lattice<vobj> & operator = (Lattice<vobj> && r){
-
-    resize(0); // deletes if appropriate
-    this->_grid       = r.Grid();
-    this->_odata      = r._odata;
-    this->_odata_size = r._odata_size;
-    this->checkerboard= r.Checkerboard();
-
-    r._odata      = nullptr;
-    r._odata_size = 0;
-    
-    return *this;
-  }
-
-  /////////////////////////////////////////////////////////////////////////////
-  // *=,+=,-= operators inherit behvour from correspond */+/- operation
-  /////////////////////////////////////////////////////////////////////////////
-  template<class T> inline Lattice<vobj> &operator *=(const T &r) {
-    *this = (*this)*r;
-    return *this;
-  }
-  
-  template<class T> inline Lattice<vobj> &operator -=(const T &r) {
-    *this = (*this)-r;
-    return *this;
-  }
-  template<class T> inline Lattice<vobj> &operator +=(const T &r) {
-    *this = (*this)+r;
-    return *this;
-  }
-
-  friend inline void swap(Lattice &l, Lattice &r) { 
-    conformable(l,r);
-    LatticeAccelerator<vobj> tmp;
-    LatticeAccelerator<vobj> *lp = (LatticeAccelerator<vobj> *)&l;
-    LatticeAccelerator<vobj> *rp = (LatticeAccelerator<vobj> *)&r;
-    tmp = *lp;    *lp=*rp;    *rp=tmp;
-  }
-
-}; // class Lattice
-
-template<class vobj> std::ostream& operator<< (std::ostream& stream, const Lattice<vobj> &o){
-  typedef typename vobj::scalar_object sobj;
-  for(int g=0;g<o.Grid()->_gsites;g++){
-
-    Coordinate gcoor;
-    o.Grid()->GlobalIndexToGlobalCoor(g,gcoor);
-
-    sobj ss;
-    peekSite(ss,o,gcoor);
-    stream<<"[";
-    for(int d=0;d<gcoor.size();d++){
-      stream<<gcoor[d];
-      if(d!=gcoor.size()-1) stream<<",";
-    }
-    stream<<"]\t";
-    stream<<ss<<std::endl;
-  }
-  return stream;
-}
-  
-NAMESPACE_END(Grid);
-

Grid/lattice/Lattice_basis.h

@@ -1,247 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/lattice/Lattice_basis.h
-
-Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-Author: paboyle <paboyle@ph.ed.ac.uk>
-Author: Christoph Lehner <christoph@lhnr.de>
-
-This program is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2 of the License, or
-(at your option) any later version.
-
-This program is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-GNU General Public License for more details.
-
-You should have received a copy of the GNU General Public License along
-with this program; if not, write to the Free Software Foundation, Inc.,
-51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-See the full license in the file "LICENSE" in the top level distribution
-directory
-*************************************************************************************/
-			   /*  END LEGAL */
-
-#pragma once
-
-NAMESPACE_BEGIN(Grid);
-
-template<class Field>
-void basisOrthogonalize(std::vector<Field> &basis,Field &w,int k) 
-{
-  // If assume basis[j] are already orthonormal,
-  // can take all inner products in parallel saving 2x bandwidth
-  // Save 3x bandwidth on the second line of loop.
-  // perhaps 2.5x speed up.
-  // 2x overall in Multigrid Lanczos  
-  for(int j=0; j<k; ++j){
-    auto ip = innerProduct(basis[j],w);
-    w = w - ip*basis[j];
-  }
-}
-
-template<class VField, class Matrix>
-void basisRotate(VField &basis,Matrix& Qt,int j0, int j1, int k0,int k1,int Nm) 
-{
-  typedef decltype(basis[0]) Field;
-  typedef decltype(basis[0].View(AcceleratorRead)) View;
-
-  Vector<View> basis_v; basis_v.reserve(basis.size());
-  typedef typename std::remove_reference<decltype(basis_v[0][0])>::type vobj;
-  typedef typename std::remove_reference<decltype(Qt(0,0))>::type Coeff_t;
-  GridBase* grid = basis[0].Grid();
-      
-  for(int k=0;k<basis.size();k++){
-    basis_v.push_back(basis[k].View(AcceleratorWrite));
-  }
-
-#if ( (!defined(GRID_SYCL)) && (!defined(GRID_CUDA)) )
-  int max_threads = thread_max();
-  Vector < vobj > Bt(Nm * max_threads);
-  thread_region
-    {
-      vobj* B = &Bt[Nm * thread_num()];
-      thread_for_in_region(ss, grid->oSites(),{
-	  for(int j=j0; j<j1; ++j) B[j]=0.;
-      
-	  for(int j=j0; j<j1; ++j){
-	    for(int k=k0; k<k1; ++k){
-	      B[j] +=Qt(j,k) * basis_v[k][ss];
-	    }
-	  }
-	  for(int j=j0; j<j1; ++j){
-	    basis_v[j][ss] = B[j];
-	  }
-	});
-    }
-#else
-  View *basis_vp = &basis_v[0];
-
-  int nrot = j1-j0;
-  if (!nrot) // edge case not handled gracefully by Cuda
-    return;
-
-  uint64_t oSites   =grid->oSites();
-  uint64_t siteBlock=(grid->oSites()+nrot-1)/nrot; // Maximum 1 additional vector overhead
-
-  Vector <vobj> Bt(siteBlock * nrot); 
-  auto Bp=&Bt[0];
-
-  // GPU readable copy of matrix
-  Vector<Coeff_t> Qt_jv(Nm*Nm);
-  Coeff_t *Qt_p = & Qt_jv[0];
-  thread_for(i,Nm*Nm,{
-      int j = i/Nm;
-      int k = i%Nm;
-      Qt_p[i]=Qt(j,k);
-  });
-
-  // Block the loop to keep storage footprint down
-  for(uint64_t s=0;s<oSites;s+=siteBlock){
-
-    // remaining work in this block
-    int ssites=MIN(siteBlock,oSites-s);
-
-    // zero out the accumulators
-    accelerator_for(ss,siteBlock*nrot,vobj::Nsimd(),{
-	decltype(coalescedRead(Bp[ss])) z;
-	z=Zero();
-	coalescedWrite(Bp[ss],z);
-      });
-
-    accelerator_for(sj,ssites*nrot,vobj::Nsimd(),{
-	
-	int j =sj%nrot;
-	int jj  =j0+j;
-	int ss =sj/nrot;
-	int sss=ss+s;
-
-	for(int k=k0; k<k1; ++k){
-	  auto tmp = coalescedRead(Bp[ss*nrot+j]);
-	  coalescedWrite(Bp[ss*nrot+j],tmp+ Qt_p[jj*Nm+k] * coalescedRead(basis_v[k][sss]));
-	}
-      });
-
-    accelerator_for(sj,ssites*nrot,vobj::Nsimd(),{
-	int j =sj%nrot;
-	int jj  =j0+j;
-	int ss =sj/nrot;
-	int sss=ss+s;
-	coalescedWrite(basis_v[jj][sss],coalescedRead(Bp[ss*nrot+j]));
-      });
-  }
-#endif
-
-  for(int k=0;k<basis.size();k++) basis_v[k].ViewClose();
-}
-
-// Extract a single rotated vector
-template<class Field>
-void basisRotateJ(Field &result,std::vector<Field> &basis,Eigen::MatrixXd& Qt,int j, int k0,int k1,int Nm) 
-{
-  typedef decltype(basis[0].View(AcceleratorRead)) View;
-  typedef typename Field::vector_object vobj;
-  GridBase* grid = basis[0].Grid();
-
-  result.Checkerboard() = basis[0].Checkerboard();
-
-  Vector<View> basis_v; basis_v.reserve(basis.size());
-  for(int k=0;k<basis.size();k++){
-    basis_v.push_back(basis[k].View(AcceleratorRead));
-  }
-  vobj zz=Zero();
-  Vector<double> Qt_jv(Nm);
-  double * Qt_j = & Qt_jv[0];
-  for(int k=0;k<Nm;++k) Qt_j[k]=Qt(j,k);
-
-  auto basis_vp=& basis_v[0];
-  autoView(result_v,result,AcceleratorWrite);
-  accelerator_for(ss, grid->oSites(),vobj::Nsimd(),{
-    auto B=coalescedRead(zz);
-    for(int k=k0; k<k1; ++k){
-      B +=Qt_j[k] * coalescedRead(basis_vp[k][ss]);
-    }
-    coalescedWrite(result_v[ss], B);
-  });
-  for(int k=0;k<basis.size();k++) basis_v[k].ViewClose();
-}
-
-template<class Field>
-void basisReorderInPlace(std::vector<Field> &_v,std::vector<RealD>& sort_vals, std::vector<int>& idx) 
-{
-  int vlen = idx.size();
-
-  assert(vlen>=1);
-  assert(vlen<=sort_vals.size());
-  assert(vlen<=_v.size());
-
-  for (size_t i=0;i<vlen;i++) {
-
-    if (idx[i] != i) {
-
-      //////////////////////////////////////
-      // idx[i] is a table of desired sources giving a permutation.
-      // Swap v[i] with v[idx[i]].
-      // Find  j>i for which _vnew[j] = _vold[i],
-      // track the move idx[j] => idx[i]
-      // track the move idx[i] => i
-      //////////////////////////////////////
-      size_t j;
-      for (j=i;j<idx.size();j++)
-	if (idx[j]==i)
-	  break;
-
-      assert(idx[i] > i);     assert(j!=idx.size());      assert(idx[j]==i);
-
-      swap(_v[i],_v[idx[i]]); // should use vector move constructor, no data copy
-      std::swap(sort_vals[i],sort_vals[idx[i]]);
-
-      idx[j] = idx[i];
-      idx[i] = i;
-    }
-  }
-}
-
-inline std::vector<int> basisSortGetIndex(std::vector<RealD>& sort_vals) 
-{
-  std::vector<int> idx(sort_vals.size());
-  std::iota(idx.begin(), idx.end(), 0);
-
-  // sort indexes based on comparing values in v
-  std::sort(idx.begin(), idx.end(), [&sort_vals](int i1, int i2) {
-    return ::fabs(sort_vals[i1]) < ::fabs(sort_vals[i2]);
-  });
-  return idx;
-}
-
-template<class Field>
-void basisSortInPlace(std::vector<Field> & _v,std::vector<RealD>& sort_vals, bool reverse) 
-{
-  std::vector<int> idx = basisSortGetIndex(sort_vals);
-  if (reverse)
-    std::reverse(idx.begin(), idx.end());
-  
-  basisReorderInPlace(_v,sort_vals,idx);
-}
-
-// PAB: faster to compute the inner products first then fuse loops.
-// If performance critical can improve.
-template<class Field>
-void basisDeflate(const std::vector<Field> &_v,const std::vector<RealD>& eval,const Field& src_orig,Field& result) {
-  result = Zero();
-  assert(_v.size()==eval.size());
-  int N = (int)_v.size();
-  for (int i=0;i<N;i++) {
-    Field& tmp = _v[i];
-    axpy(result,TensorRemove(innerProduct(tmp,src_orig)) / eval[i],tmp,result);
-  }
-}
-
-NAMESPACE_END(Grid);

Grid/lattice/Lattice_comparison.h

@@ -1,179 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/lattice/Lattice_comparison.h
-
-    Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_LATTICE_COMPARISON_H
-#define GRID_LATTICE_COMPARISON_H
-
-NAMESPACE_BEGIN(Grid);
-
-//////////////////////////////////////////////////////////////////////////
-// relational operators
-// 
-// Support <,>,<=,>=,==,!=
-//
-//Query supporting bitwise &, |, ^, !
-//Query supporting logical &&, ||, 
-//////////////////////////////////////////////////////////////////////////
-
-typedef iScalar<vInteger> vPredicate ;
-
-//////////////////////////////////////////////////////////////////////////
-// compare lattice to lattice
-//////////////////////////////////////////////////////////////////////////
-
-template<class vfunctor,class lobj,class robj>  
-inline Lattice<vPredicate> LLComparison(vfunctor op,const Lattice<lobj> &lhs,const Lattice<robj> &rhs)
-{
-  Lattice<vPredicate> ret(rhs.Grid());
-  autoView( lhs_v, lhs, CpuRead);
-  autoView( rhs_v, rhs, CpuRead);
-  autoView( ret_v, ret, CpuWrite);
-  thread_for( ss, rhs_v.size(), {
-      ret_v[ss]=op(lhs_v[ss],rhs_v[ss]);
-  });
-  return ret;
-}
-//////////////////////////////////////////////////////////////////////////
-// compare lattice to scalar
-//////////////////////////////////////////////////////////////////////////
-template<class vfunctor,class lobj,class robj> 
-inline Lattice<vPredicate> LSComparison(vfunctor op,const Lattice<lobj> &lhs,const robj &rhs)
-{
-  Lattice<vPredicate> ret(lhs.Grid());
-  autoView( lhs_v, lhs, CpuRead);
-  autoView( ret_v, ret, CpuWrite);
-  thread_for( ss, lhs_v.size(), {
-    ret_v[ss]=op(lhs_v[ss],rhs);
-  });
-  return ret;
-}
-//////////////////////////////////////////////////////////////////////////
-// compare scalar to lattice
-//////////////////////////////////////////////////////////////////////////
-template<class vfunctor,class lobj,class robj> 
-inline Lattice<vPredicate> SLComparison(vfunctor op,const lobj &lhs,const Lattice<robj> &rhs)
-{
-  Lattice<vPredicate> ret(rhs.Grid());
-  autoView( rhs_v, rhs, CpuRead);
-  autoView( ret_v, ret, CpuWrite);
-  thread_for( ss, rhs_v.size(), {
-    ret_v[ss]=op(lhs,rhs_v[ss]);
-  });
-  return ret;
-}
-  
-//////////////////////////////////////////////////////////////////////////
-// Map to functors
-//////////////////////////////////////////////////////////////////////////
-// Less than
-template<class lobj,class robj>
-inline Lattice<vPredicate> operator < (const Lattice<lobj> & lhs, const Lattice<robj> & rhs) {
-  return LLComparison(vlt<lobj,robj>(),lhs,rhs);
-}
-template<class lobj,class robj>
-inline Lattice<vPredicate> operator < (const Lattice<lobj> & lhs, const robj & rhs) {
-  return LSComparison(vlt<lobj,robj>(),lhs,rhs);
-}
-template<class lobj,class robj>
-inline Lattice<vPredicate> operator < (const lobj & lhs, const Lattice<robj> & rhs) {
-  return SLComparison(vlt<lobj,robj>(),lhs,rhs);
-}
-  
-// Less than equal
-template<class lobj,class robj>
-inline Lattice<vPredicate> operator <= (const Lattice<lobj> & lhs, const Lattice<robj> & rhs) {
-  return LLComparison(vle<lobj,robj>(),lhs,rhs);
-}
-template<class lobj,class robj>
-inline Lattice<vPredicate> operator <= (const Lattice<lobj> & lhs, const robj & rhs) {
-  return LSComparison(vle<lobj,robj>(),lhs,rhs);
-}
-template<class lobj,class robj>
-inline Lattice<vPredicate> operator <= (const lobj & lhs, const Lattice<robj> & rhs) {
-  return SLComparison(vle<lobj,robj>(),lhs,rhs);
-}
-  
-// Greater than 
-template<class lobj,class robj>
-inline Lattice<vPredicate> operator > (const Lattice<lobj> & lhs, const Lattice<robj> & rhs) {
-  return LLComparison(vgt<lobj,robj>(),lhs,rhs);
-}
-template<class lobj,class robj>
-inline Lattice<vPredicate> operator > (const Lattice<lobj> & lhs, const robj & rhs) {
-  return LSComparison(vgt<lobj,robj>(),lhs,rhs);
-}
-template<class lobj,class robj>
-inline Lattice<vPredicate> operator > (const lobj & lhs, const Lattice<robj> & rhs) {
-  return SLComparison(vgt<lobj,robj>(),lhs,rhs);
-}
-  
-  
-// Greater than equal
-template<class lobj,class robj>
-inline Lattice<vPredicate> operator >= (const Lattice<lobj> & lhs, const Lattice<robj> & rhs) {
-  return LLComparison(vge<lobj,robj>(),lhs,rhs);
-}
-template<class lobj,class robj>
-inline Lattice<vPredicate> operator >= (const Lattice<lobj> & lhs, const robj & rhs) {
-  return LSComparison(vge<lobj,robj>(),lhs,rhs);
-}
-template<class lobj,class robj>
-inline Lattice<vPredicate> operator >= (const lobj & lhs, const Lattice<robj> & rhs) {
-  return SLComparison(vge<lobj,robj>(),lhs,rhs);
-}
-   
-// equal
-template<class lobj,class robj>
-inline Lattice<vPredicate> operator == (const Lattice<lobj> & lhs, const Lattice<robj> & rhs) {
-  return LLComparison(veq<lobj,robj>(),lhs,rhs);
-}
-template<class lobj,class robj>
-inline Lattice<vPredicate> operator == (const Lattice<lobj> & lhs, const robj & rhs) {
-  return LSComparison(veq<lobj,robj>(),lhs,rhs);
-}
-template<class lobj,class robj>
-inline Lattice<vPredicate> operator == (const lobj & lhs, const Lattice<robj> & rhs) {
-  return SLComparison(veq<lobj,robj>(),lhs,rhs);
-}
-   
-   
-// not equal
-template<class lobj,class robj>
-inline Lattice<vPredicate> operator != (const Lattice<lobj> & lhs, const Lattice<robj> & rhs) {
-  return LLComparison(vne<lobj,robj>(),lhs,rhs);
-}
-template<class lobj,class robj>
-inline Lattice<vPredicate> operator != (const Lattice<lobj> & lhs, const robj & rhs) {
-  return LSComparison(vne<lobj,robj>(),lhs,rhs);
-}
-template<class lobj,class robj>
-inline Lattice<vPredicate> operator != (const lobj & lhs, const Lattice<robj> & rhs) {
-  return SLComparison(vne<lobj,robj>(),lhs,rhs);
-}
-NAMESPACE_END(Grid);
-#endif

Grid/lattice/Lattice_comparison_utils.h

@@ -1,232 +0,0 @@
-    /*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/lattice/Lattice_comparison_utils.h
-
-    Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-    *************************************************************************************/
-    /*  END LEGAL */
-
-#pragma once
-
-NAMESPACE_BEGIN(Grid);
-
-  /////////////////////////////////////////
-  // This implementation is a bit poor.
-  //
-  // Only support relational logical operations (<, >  etc)
-  // on scalar objects. Therefore can strip any tensor structures.
-  //
-  // Should guard this with isGridTensor<> enable if?
-  /////////////////////////////////////////
-  //
-  // Generic list of functors
-  //
-  template<class lobj,class robj> class veq {
-  public:
-    accelerator vInteger operator()(const lobj &lhs, const robj &rhs)
-    { 
-      return (lhs) == (rhs);
-    }
-  };
-  template<class lobj,class robj> class vne {
-  public:
-    accelerator vInteger operator()(const lobj &lhs, const robj &rhs)
-    { 
-      return (lhs) != (rhs);
-    }
-  };
-  template<class lobj,class robj> class vlt {
-  public:
-    accelerator vInteger operator()(const lobj &lhs, const robj &rhs)
-    { 
-      return (lhs) < (rhs);
-    }
-  };
-  template<class lobj,class robj> class vle {
-  public:
-    accelerator vInteger operator()(const lobj &lhs, const robj &rhs)
-    { 
-      return (lhs) <= (rhs);
-    }
-  };
-  template<class lobj,class robj> class vgt {
-  public:
-    accelerator vInteger operator()(const lobj &lhs, const robj &rhs)
-    { 
-      return (lhs) > (rhs);
-    }
-  };
-  template<class lobj,class robj> class vge {
-    public:
-    accelerator vInteger operator()(const lobj &lhs, const robj &rhs)
-    { 
-      return (lhs) >= (rhs);
-    }
-  };
-  
-  // Generic list of functors
-  template<class lobj,class robj> class seq {
-  public:
-    accelerator Integer operator()(const lobj &lhs, const robj &rhs)
-    { 
-      return (lhs) == (rhs);
-    }
-  };
-  template<class lobj,class robj> class sne {
-  public:
-    accelerator Integer operator()(const lobj &lhs, const robj &rhs)
-    { 
-      return (lhs) != (rhs);
-    }
-  };
-  template<class lobj,class robj> class slt {
-  public:
-    accelerator Integer operator()(const lobj &lhs, const robj &rhs)
-    { 
-      return (lhs) < (rhs);
-    }
-  };
-  template<class lobj,class robj> class sle {
-  public:
-    accelerator Integer operator()(const lobj &lhs, const robj &rhs)
-    { 
-      return (lhs) <= (rhs);
-    }
-  };
-  template<class lobj,class robj> class sgt {
-  public:
-    accelerator Integer operator()(const lobj &lhs, const robj &rhs)
-    { 
-      return (lhs) > (rhs);
-    }
-  };
-  template<class lobj,class robj> class sge {
-  public:
-    accelerator Integer operator()(const lobj &lhs, const robj &rhs)
-    { 
-      return (lhs) >= (rhs);
-    }
-  };
-
-  //////////////////////////////////////////////////////////////////////////////////////////////////////
-  // Integer and real get extra relational functions.
-  //////////////////////////////////////////////////////////////////////////////////////////////////////
-  template<class sfunctor, class vsimd,IfNotComplex<vsimd> = 0> 
-    accelerator_inline vInteger Comparison(sfunctor sop,const vsimd & lhs, const vsimd & rhs)
-    {
-      typedef typename vsimd::scalar_type scalar;
-      ExtractBuffer<scalar> vlhs(vsimd::Nsimd());   // Use functors to reduce this to single implementation
-      ExtractBuffer<scalar> vrhs(vsimd::Nsimd());
-      ExtractBuffer<Integer> vpred(vsimd::Nsimd());
-      vInteger ret;
-      extract<vsimd,scalar>(lhs,vlhs);
-      extract<vsimd,scalar>(rhs,vrhs);
-      for(int s=0;s<vsimd::Nsimd();s++){
-	vpred[s] = sop(vlhs[s],vrhs[s]);
-      }
-      merge<vInteger,Integer>(ret,vpred);
-      return ret;
-    }
-
-  template<class sfunctor, class vsimd,IfNotComplex<vsimd> = 0> 
-    accelerator_inline vInteger Comparison(sfunctor sop,const vsimd & lhs, const typename vsimd::scalar_type & rhs)
-    {
-      typedef typename vsimd::scalar_type scalar;
-      ExtractBuffer<scalar> vlhs(vsimd::Nsimd());   // Use functors to reduce this to single implementation
-      ExtractBuffer<Integer> vpred(vsimd::Nsimd());
-      vInteger ret;
-      extract<vsimd,scalar>(lhs,vlhs);
-      for(int s=0;s<vsimd::Nsimd();s++){
-	vpred[s] = sop(vlhs[s],rhs);
-      }
-      merge<vInteger,Integer>(ret,vpred);
-      return ret;
-    }
-
-  template<class sfunctor, class vsimd,IfNotComplex<vsimd> = 0> 
-    accelerator_inline vInteger Comparison(sfunctor sop,const typename vsimd::scalar_type & lhs, const vsimd & rhs)
-    {
-      typedef typename vsimd::scalar_type scalar;
-      ExtractBuffer<scalar> vrhs(vsimd::Nsimd());   // Use functors to reduce this to single implementation
-      ExtractBuffer<Integer> vpred(vsimd::Nsimd());
-      vInteger ret;
-      extract<vsimd,scalar>(rhs,vrhs);
-      for(int s=0;s<vsimd::Nsimd();s++){
-	vpred[s] = sop(lhs,vrhs[s]);
-      }
-      merge<vInteger,Integer>(ret,vpred);
-      return ret;
-    }
-
-#define DECLARE_RELATIONAL_EQ(op,functor) \
-  template<class vsimd,IfSimd<vsimd> = 0>\
-    accelerator_inline vInteger operator op (const vsimd & lhs, const vsimd & rhs)\
-    {\
-      typedef typename vsimd::scalar_type scalar;\
-      return Comparison(functor<scalar,scalar>(),lhs,rhs);\
-    }\
-  template<class vsimd,IfSimd<vsimd> = 0>\
-    accelerator_inline vInteger operator op (const vsimd & lhs, const typename vsimd::scalar_type & rhs) \
-    {\
-      typedef typename vsimd::scalar_type scalar;\
-      return Comparison(functor<scalar,scalar>(),lhs,rhs);\
-    }\
-  template<class vsimd,IfSimd<vsimd> = 0>\
-    accelerator_inline vInteger operator op (const typename vsimd::scalar_type & lhs, const vsimd & rhs) \
-    {\
-      typedef typename vsimd::scalar_type scalar;\
-      return Comparison(functor<scalar,scalar>(),lhs,rhs);\
-    }\
-  template<class vsimd>\
-    accelerator_inline vInteger operator op(const iScalar<vsimd> &lhs,const typename vsimd::scalar_type &rhs) \
-    {									\
-      return lhs._internal op rhs;					\
-    }									\
-  template<class vsimd>\
-    accelerator_inline vInteger operator op(const typename vsimd::scalar_type &lhs,const iScalar<vsimd> &rhs) \
-    {									\
-      return lhs op rhs._internal;					\
-    }									\
-
-#define DECLARE_RELATIONAL(op,functor) \
-  DECLARE_RELATIONAL_EQ(op,functor)    \
-  template<class vsimd>\
-    accelerator_inline vInteger operator op(const iScalar<vsimd> &lhs,const iScalar<vsimd> &rhs)\
-    {									\
-      return lhs._internal op rhs._internal;				\
-    }									
-
-DECLARE_RELATIONAL(<,slt);
-DECLARE_RELATIONAL(<=,sle);
-DECLARE_RELATIONAL(>,sgt);
-DECLARE_RELATIONAL(>=,sge);
-DECLARE_RELATIONAL_EQ(==,seq);
-DECLARE_RELATIONAL(!=,sne);
-
-#undef DECLARE_RELATIONAL
-
-NAMESPACE_END(Grid);
-
-
-

Grid/lattice/Lattice_conformable.h

@@ -1,40 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/lattice/Lattice_conformable.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_LATTICE_CONFORMABLE_H
-#define GRID_LATTICE_CONFORMABLE_H
-
-NAMESPACE_BEGIN(Grid);
-
-template<class obj1,class obj2> void conformable(const Lattice<obj1> &lhs,const Lattice<obj2> &rhs)
-{
-  assert(lhs.Grid() == rhs.Grid());
-  assert(lhs.Checkerboard() == rhs.Checkerboard());
-}
-
-NAMESPACE_END(Grid);
-#endif

Grid/lattice/Lattice_coordinate.h

@@ -1,55 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/lattice/Lattice_coordinate.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#pragma once 
-
-NAMESPACE_BEGIN(Grid);
-
-template<class iobj> inline void LatticeCoordinate(Lattice<iobj> &l,int mu)
-{
-  typedef typename iobj::scalar_type scalar_type;
-  typedef typename iobj::vector_type vector_type;
-
-  GridBase *grid = l.Grid();
-  int Nsimd = grid->iSites();
-
-  autoView(l_v, l, CpuWrite);
-  thread_for( o, grid->oSites(), {
-    vector_type vI;
-    Coordinate gcoor;
-    ExtractBuffer<scalar_type> mergebuf(Nsimd);
-    for(int i=0;i<grid->iSites();i++){
-      grid->RankIndexToGlobalCoor(grid->ThisRank(),o,i,gcoor);
-      mergebuf[i]=(Integer)gcoor[mu];
-    }
-    merge<vector_type,scalar_type>(vI,mergebuf);
-    l_v[o]=vI;
-  });
-};
-
-NAMESPACE_END(Grid);
-

Grid/lattice/Lattice_local.h

@@ -1,87 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/lattice/Lattice_local.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-    This program is free software; you can redistribute it and/or modify
-    it under the terms of the GNU General Public License as published by
-    the Free Software Foundation; either version 2 of the License, or
-    (at your option) any later version.
-
-    This program is distributed in the hope that it will be useful,
-    but WITHOUT ANY WARRANTY; without even the implied warranty of
-    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-    GNU General Public License for more details.
-
-    You should have received a copy of the GNU General Public License along
-    with this program; if not, write to the Free Software Foundation, Inc.,
-    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-    See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef GRID_LATTICE_LOCALREDUCTION_H
-#define GRID_LATTICE_LOCALREDUCTION_H
-
-///////////////////////////////////////////////
-// localInner, localNorm, outerProduct
-///////////////////////////////////////////////
-
-NAMESPACE_BEGIN(Grid);
-
-/////////////////////////////////////////////////////
-// Non site, reduced locally reduced routines
-/////////////////////////////////////////////////////
-  
-// localNorm2,
-template<class vobj>
-inline auto localNorm2 (const Lattice<vobj> &rhs)-> Lattice<typename vobj::tensor_reduced>
-{
-  Lattice<typename vobj::tensor_reduced> ret(rhs.Grid());
-  autoView( rhs_v , rhs, AcceleratorRead);
-  autoView( ret_v , ret, AcceleratorWrite);
-  accelerator_for(ss,rhs_v.size(),vobj::Nsimd(),{
-    coalescedWrite(ret_v[ss],innerProduct(rhs_v(ss),rhs_v(ss)));
-  });
-  return ret;
-}
-  
-// localInnerProduct
-template<class vobj>
-inline auto localInnerProduct (const Lattice<vobj> &lhs,const Lattice<vobj> &rhs) -> Lattice<typename vobj::tensor_reduced>
-{
-  Lattice<typename vobj::tensor_reduced> ret(rhs.Grid());
-  autoView( lhs_v , lhs, AcceleratorRead);
-  autoView( rhs_v , rhs, AcceleratorRead);
-  autoView( ret_v , ret, AcceleratorWrite);
-  accelerator_for(ss,rhs_v.size(),vobj::Nsimd(),{
-    coalescedWrite(ret_v[ss],innerProduct(lhs_v(ss),rhs_v(ss)));
-  });
-  return ret;
-}
-  
-// outerProduct Scalar x Scalar -> Scalar
-//              Vector x Vector -> Matrix
-template<class ll,class rr>
-inline auto outerProduct (const Lattice<ll> &lhs,const Lattice<rr> &rhs) -> Lattice<decltype(outerProduct(ll(),rr()))>
-{
-  typedef decltype(coalescedRead(ll())) sll;
-  typedef decltype(coalescedRead(rr())) srr;
-  Lattice<decltype(outerProduct(ll(),rr()))> ret(rhs.Grid());
-  autoView( lhs_v , lhs, AcceleratorRead);
-  autoView( rhs_v , rhs, AcceleratorRead);
-  autoView( ret_v , ret, AcceleratorWrite);
-  accelerator_for(ss,rhs_v.size(),1,{
-    // FIXME had issues with scalar version of outer 
-    // Use vector [] operator and don't read coalesce this loop
-    ret_v[ss]=outerProduct(lhs_v[ss],rhs_v[ss]);
-  });
-  return ret;
-}
-NAMESPACE_END(Grid);
-#endif